Persons: Platonov, Vladimir Petrovich

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Platonov, Vladimir Petrovich

Statistics
in MathSciNet:	205 (184)
in zbMATH:	150 (144)
in Web of Science:	71 (60)
in Scopus:	75 (71)

Full member of the Russian Academy of Sciences

Professor

Doctor of physico-mathematical sciences (1966)

Birth date:

1.12.1939

E-mail:

Website:

https://www.niisi.ru/platonov.htm

https://www.mathnet.ru/eng/person9012

https://ru.wikipedia.org/wiki/Platonov,_Vladimir_Petrovich

List of publications on Google Scholar

https://zbmath.org/authors/ai:platonov.vladimir-p

https://mathscinet.ams.org/mathscinet/MRAuthorID/197470

https://elibrary.ru/author_items.asp?authorid=603505

List of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	V. P. Platonov, G.V. Fedorov, “Asymptotic behavior of period lengths of continued fractions in a hyperelliptic field”, Izv. RAN. Ser. Mat. (to appear)
2.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “Finiteness theorems for generalized Jacobians with nontrivial torsion”, Sb. Math., 216:4 (2025), 560–577
3.	V. P. Platonov, “On the description of periodic elements of elliptic fields defined by polynomials of degree three”, Russian Math. Surveys, 79:6 (2024), 1104–1106
4.	V. P. Platonov, G.V. Fedorov, “Continued fractions in hyperelliptic fields with an arbitrarily long period”, Dokl. Math., 109:2 (2024), 147–151
5.	V. P. Platonov, M. M. Petrunin, “New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields”, Proc. Steklov Inst. Math., 320 (2023), 258–266
6.	Vladimir Platonov, Andrei Rapinchuk, Igor Rapinchuk, Algebraic Groups and Number Theory, v. 1, Cambridge studies in advanced mathematics, 205, Second Edition, Cambridge University Press, Cambridge, 2023 , 381 pp.	3 ^[x]
7.	V. P. Platonov, V. S. Zhgoon, G.V. Fedorov, “On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields”, Dokl. Math., 108:2 (2023), 382–386
8.	V. P. Platonov, V. S. Zhgoon, M. M. Petrunin, “On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials $f$ over algebraic number fields”, Sb. Math., 213:3 (2022), 412–442
9.	V. P. Platonov, G. V. Fedorov, “Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields”, Doklady Mathematics, V. 106:(Suppl 2) (2022), S262 –S269
10.	V. P. Platonov, G. V. Fedorov, “On the classification problem for polynomials $f$ with a periodic continued fraction expansion of $\sqrt{f}$ in hyperelliptic fields”, Izv. Math., 85:5 (2021), 972–1007
11.	V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “On the Periodicity Problem for the Continued Fraction Expansion of Elements of Hyperelliptic Fields with Fundamental $S$-Units of Degree at Most 11”, Dokl. Math., 104:5 (2021), 258–263
12.	V. P. Platonov, G. V. Fedorov, “On the problem of classification of periodic continued fractions in hyperelliptic fields”, Russian Math. Surveys, 75:4 (2020), 785–787
13.	V.P. Platonov, M.M. Petrunin, Yu.N. Shteinikov, “Periodicheskie elementy $\sqrt f$ v ellipticheskikh polyakh s polem konstant nulevoi kharakteristiki”, Chebyshevskii sbornik, 21:1 (2020), 273-298
14.	V. P. Platonov, M. M. Petrunin, V. S. Zhgoon, “On the Problem of Periodicity of Continued Fraction Expansions of $\sqrt{f}$ for Cubic Polynomials over Number Fields”, Dokl. Math., 102:1 (2020), 288–292
15.	V.P. Platonov, M.M. Petrunin, “On the Finiteness of the Number of Expansions into a Continued Fraction of √f for Cubic Polynomials over Algebraic Number Fields”, Dokl. Math., 102:3 (2020), 487–492
16.	V. P. Platonov, M. M. Petrunin, “On infinite-dimensional integer Hankel matrices”, Dokl. Math., 99:2 (2019), 218–220
17.	V. P. Platonov, G. V. Fedorov, “On $S$-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields”, Dokl. Math., 99:3 (2019), 277–281
18.	V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “On the Finiteness of the Number of Elliptic Fields with Given Degrees of $S$-Units and Periodic Expansion of $\sqrt f$”, Dokl. Math., 100:2 (2019), 1–5
19.	V. P. Platonov, G. V. Fedorov, “The criterion of periodicity of continued fractions of key elements in hyperelliptic fields”, Doklady Mathematics (Supplementary issues), 106:2 (2022), 262–269
20.	V. P. Platonov, G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields”, Sb. Math., 209:4 (2018), 519–559
21.	V. P. Platonov, M. M. Petrunin, “Groups of $S$-units and the problem of periodicity of continued fractions in hyperelliptic fields”, Proc. Steklov Inst. Math., 302 (2018), 336–357
22.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, Dokl. Math., 98:2 (2018), 430–434
23.	V. P. Platonov, M. M. Petrunin, “On New Arithmetic Properties of Determinants of Hankel Matrices”, Dokl. Math., 98:1 (2018), 370–372
24.	V. P. Platonov, G. V. Fedorov, “An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28”, Dokl. Math., 98:2 (2018), 468–471
25.	V. P. Platonov, M. M. Petrunin, V. S. Zhgoon, Yu. N. Shteinikov, “On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of $\sqrt f$”, Dokl. Math., 98:3 (2018), 641–645
26.	V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 95:3 (2017), 254–258
27.	V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in elliptic fields”, Dokl. Math., 96:1 (2017), 332–335
28.	V. P. Platonov, “On new properties of Hankel matrices over the field of rational numbers”, Russian Math. Surveys, 72:5 (2017), 963–964
29.	V. P. Platonov, M. M. Petrunin, “$S$-Units and periodicity in quadratic function fields”, Russian Math. Surveys, 71:5 (2016), 973–975
30.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “Continued Rational Fractions in Hyperelliptic Fields and the Mumford Representation”, Dokl. Math., 94:3 (2016), 692–696
31.	V. P. Platonov, M. M. Petrunin, “$S$-units in hyperelliptic fields and periodicity of continued fractions”, Dokl. Math., 94:2 (2016), 532–537
32.	V. P. Platonov, M. M. Petrunin, “New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order”, Dokl. Math., 91:2 (2015), 220–221
33.	V. P. Platonov, G. V. Fedorov, “$S$-units and periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 92:3 (2015), 752–756
34.	V. P. Platonov, M. M. Petrunin, “Fundamental $S$-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves”, Dokl. Math., 92:3 (2015), 667–669
35.	V. P. Platonov, “Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field”, Russian Math. Surveys, 69:1 (2014), 1–34
36.	V. P. Platonov, V. S. Zhgun, M. M. Petrunin, “On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order”, Dokl. Math., 87:3 (2013), 318–321
37.	B. P. Platonov, M. M. Petrunin, “On the torsion problem in jacobians of curves of genus 2 over the rational number field”, Dokl. Math., 86:2 (2012), 642–643
38.	V. P. Platonov, M. M. Petrunin, “New orders of torsion points in Jacobians of curves of genus 2 over the rational number field”, Dokl. Math., 85:2 (2012), 286–288
39.	V. P. Platonov, “Arithmetic properties of quadratic function fields and torsion in Jacobians”, Chebyshevskii Sb., 11:1 (2010), 234–238
40.	V. P. Platonov, “New properties of arithmetic groups”, Russian Math. Surveys, 65:5 (2010), 951–975
41.	V. P. Platonov, “Arithmetic of quadratic fields and torsion in Jacobians”, Doklady Mathematics, 81:1 (2010), 55-57
42.	V. P. Platonov, V. V. Benyash-Krivets, “A new local-global principle for quadratic functional fields”, Dokl. Math., 82:1 (2010), 531–534
43.	V. P. Platonov, S. P. Strunkov, “On some equations related to the $tpp$-groups”, Discrete Math. Appl., 19:6 (2009), 597–599
44.	V. V. Benyash-Krivets, V. P. Platonov, “Groups of $S$-units in hyperelliptic fields and continued fractions”, Sb. Math., 200:11 (2009), 1587–1615
45.	V. P. Platonov, “Minimal irreducible linear groups and representations of finite groups”, Dokl. Math., 79:1 (2009), 125–127
46.	V. V. Benyash-Krivets, V. P. Platonov, “Continued fractions and $S$-units in hyperelliptic fields”, Russian Math. Surveys, 63:2 (2008), 357–359
47.	V. V. Benyash-Krivets, V. P. Platonov, “Nepreryvnye drobi i $S$-edinitsy v funktsionalnykh polyakh”, Dokl. RAN, 423:2 (2008), 155–160	2 ^[x]
48.	V. V. Benyash-Krivets, V. P. Platonov, “$S$-units in hyperelliptic fields”, Russian Math. Surveys, 62:4 (2007), 784–786
49.	V. V. Benyash-Krivets, V. P. Platonov, “Gruppy $S$-edinits v giperellipticheskikh polyakh”, Dokl. RAN, 417:4 (2007), 446–450	4 ^[x]
50.	V. P. Platonov, “Lineinye predstavleniya grupp avtomorfizmov svobodnykh razreshimykh grupp”, Dokl. RAN, 406:4 (2006), 462–463	1 ^[x]
51.	F. Grunewald, V. Platonov, “New properties of lattices in Lie groups”, C. R. Math. Acad. Sci. Paris, 338:4 (2004), 271–276	4 ^[x]
52.	V. P. Platonov, A. Potapchik, “New combinatorial properties of linear groups”, J. Algebra, 235:1 (2001), 399–415	5 ^[x]
53.	V. P. Platonov, “Rigidity for groups with radical, cohomology of finite groups, and arithmeticity problems”, Russian Math. Surveys, 54:1 (1999), 171–179
54.	F. Grunewald, V. Platonov, “Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems”, Duke Math. J., 100:2 (1999), 321–358	10 ^[x]
55.	F. Grunewald, V. Platonov, “Solvable arithmetic groups and arithmeticity problems”, Internat. J. Math., 10:3 (1999), 327–366	7 ^[x]
56.	V. I. Chernousov, V. P. Platonov, “The rationality problem for semisimple group varieties”, J. Reine Angew. Math., 504 (1998), 1–28
57.	F. Grunewald, V. Platonov, “Rigidity and automorphism groups of solvable arithmetic groups”, C. R. Acad. Sci. Paris Sér. I Math., 327:5 (1998), 427–432	6 ^[x]
58.	F. Grunewald, V. Platonov, “Non-arithmetic polycyclic groups”, C. R. Acad. Sci. Paris Sér. I Math., 326:12 (1998), 1359–1364	5 ^[x]
59.	V. P. Platonov, “Rationality problems for group varieties”, European Congress of Mathematics (Budapest, 1996), v. II, Progr. Math., 169, Birkhäuser, Basel, 1998, 151–158
60.	V. P. Platonov, V. I. Chernousov, “On the problem of rational group varieties”, Dokl. Math., 56:3 (1997), 873–876
61.	F. Grunewald, V. Platonov, “On finite extensions of arithmetic groups”, C. R. Acad. Sci. Paris Sér. I Math., 325:11 (1997), 1153–1158	11 ^[x]
62.	V. P. Platonov, B. Sury, “Adelic profinite groups”, J. Algebra, 193:2 (1997), 757–763	3 ^[x]
63.	D. Ž. Ðoković, V. P. Platonov, “Low-dimensional representations of ${\rm Aut}(F_2)$”, Manuscripta Math., 89:4 (1996), 475–509	7 ^[x]
64.	V. P. Platonov, V. I. Chernousov, “The rationality problem for group varieties”, C. R. Acad. Sci. Paris Sér. I Math., 322:3 (1996), 245–250
65.	V. P. Platonov, D. Ž. Ðoković, “Subgroups of $\mathrm{GL}(n^2,\mathbf C)$ containing $\mathrm{PSU}(n)$”, Trans. Amer. Math. Soc., 348:1 (1996), 141–152	10 ^[x]
66.	V. P. Platonov, V. I. Yanchevskii, “Finite-dimensional division algebras”, Algebra, IX, Encyclopaedia Math. Sci., 77, Springer, Berlin, 1995, 121–239	4 ^[x]
67.	V. P. Platonov, D. Ž. Ðoković, “Linear preserver problems and algebraic groups”, Math. Ann., 303:1 (1995), 165–184	12 ^[x]
68.	V. Platonov, A. Rapinchuk, Algebraic groups and number theory, Pure and Applied Mathematics, 139, Academic Press Inc., Boston, MA, 1994 , xii+614 pp.	67 ^[x]
69.	V. P. Platonov, “Subgroups of algebraic groups over a local or global field containing a maximal torus”, C. R. Acad. Sci. Paris Sér. I Math., 318:10 (1994), 899–903
70.	D. Ž. Ðoković, V. P. Platonov, “Algebraic groups and linear preserver problems”, C. R. Acad. Sci. Paris Sér. I Math., 317:10 (1993), 925–930
71.	V. P. Platonov, A. S. Rapinchuk, “Abstract properties of $S$-arithmetic groups and the congruence s problem”, Russian Acad. Sci. Izv. Math., 40:3 (1993), 455–476
72.	V. P. Platonov, A. S. Rapinchuk, “Algebraic groups and number theory”, Russian Math. Surveys, 47:2 (1992), 133–161
73.	V. Platonov, “Local-global principles in algebra and number theory”, Proceedings of the International Conference on Algebra, Part 3 (Novosibirsk, 1989), Contemp. Math., 131, Amer. Math. Soc., Providence, RI, 1992, 475–483	1 ^[x]
74.	V. P. Platonov, V. I. Yanchevskii, “Finite-dimensional skew fields”, Algebra – 9, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 77, VINITI, Moscow, 1991, 144–262
75.	V. P. Platonov, A. S. Rapinchuk, “Abstract characterizations of arithmetic groups with the congruence property”, Dokl. Math., 44:1 (1992), 342–347
76.	V. P. Platonov, A. S. Rapinchuk, Algebraicheskie gruppy i teoriya chisel, Nauka, M., 1991 , 656 pp.
77.	V. P. Platonov, V. V. Benyash-Krivets, “Character rings of representations of finitely generated groups”, Proc. Steklov Inst. Math., 183 (1991), 203–213
78.	V. P. Platonov, O. I. Tavgen', “Grothendieck's problem on profinite completions and representations of groups”, $K$-Theory, 4:1 (1990), 89–101	10 ^[x]
79.	V. P. Platonov, A. S. Rapinchuk, “The structure of groups of rational points of classical algebraic groups over number fields”, Siberian Math. J., 30:6 (1989), 980–993
80.	V. P. Platonov, “Koltsa i mnogoobraziya predstavlenii konechno porozhdennykh grupp”, Voprosy algebry, 4, Universitetskoe, Minsk, 1989, 36–40
81.	V. P. Platonov, V. I. Yanchevskii, “Finite-dimensional Henselian division algebras”, Dokl. Math., 36:3 (1988), 502–506
82.	V. P. Platonov, V. I. Yanchevskii, “On the theory of Henselian division algebras”, Dokl. Math., 36:3 (1988), 468–472
83.	Yu. A. Drakokhrust, V. P. Platonov, “The Hasse norm principle for algebraic number fields”, Math. USSR-Izv., 29:2 (1987), 299–322
84.	V. P. Platonov, V. V. Benyash-Krivets, “Koltsa kharakterov $n$-mernykh predstavlenii konechno-porozhdennykh grupp”, Dokl. AN SSSR, 289:2 (1986), 293–297	1 ^[x]
85.	V. P. Platonov, O. I. Tavgen, “K probleme Grotendika o prokonechnykh popolneniyakh grupp”, Dokl. AN SSSR, 288:5 (1986), 1054–1058	1 ^[x]
86.	V. P. Platonov, “Topology, ordinary differential equations, dynamical systems”, Proc. Steklov Inst. Math., 169 (1986), 51–59
87.	V. P. Platonov, Yu. A. Drakokhrust, “Normennyi printsip Khasse dlya primarnykh rasshirenii polei algebraicheskikh chisel”, Dokl. AN SSSR, 285:4 (1985), 812–815	1 ^[x]
88.	V. P. Platonov, Yu. A. Drakokhrust, “O printsipe Khasse dlya polei algebraicheskikh chisel”, Dokl. AN SSSR, 281:4 (1985), 793–797	1 ^[x]
89.	V. P. Platonov, V. I. Yanchevskii, “Dieudonné's conjecture on the structure of unitary groups over a division ring, and Hermitian $K$-theory”, Math. USSR-Izv., 25:3 (1985), 573–599
90.	V. P. Platonov, A. S. Rapinchuk, “Multiplicative structure of division algebras over number fields and the Hasse norm principle”, Proc. Steklov Inst. Math., 165 (1985), 187–205
91.	V. P. Platonov, “Adèle groups and class numbers”, Proc. Steklov Inst. Math., 163 (1985), 239–248
92.	V. P. Platonov, V. I. Yanchevskii, “Gipoteza Dedonne o stroenii unitarnykh grupp i tela nad genzelevymi polyami”, Dokl. AN SSSR, 279:3 (1984), 546–549	1 ^[x]
93.	V. P. Platonov, V. I. Yanchevskii, “Dieudonné's conjecture on the structure of unitary groups, and division rings over Henselian fields”, Dokl. Akad. Nauk SSSR, 279:3 (1984), 546–549
94.	V. P. Platonov, S. A. Rapinchuk, “Algebraic groups”, J. Soviet Math., 31:3 (1985), 2939–2973
95.	V. P. Platonov, “The arithmetic theory of algebraic groups”, Russian Math. Surveys, 37:3 (1982), 1–62
96.	V. P. Platonov, S. A. Rapinchuk, “Multiplikativnaya struktura tel nad chislovymi polyami i printsip Khasse”, Dokl. AN SSSR, 266:3 (1982), 560–564
97.	V. P. Platonov, “Birational properties of spinor varieties”, Proc. Steklov Inst. Math., 157 (1983), 173–182
98.	V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Class numbers and groups of algebraic groups. II”, Math. USSR-Izv., 16:2 (1981), 357–372
99.	V. P. Platonov, V. I. Chernousov, “O ratsionalnosti kanonicheskikh spinornykh mnogoobrazii”, Dokl. AN SSSR, 252:4 (1980), 796–800	3 ^[x]
100.	V. P. Platonov, “Algebraic groups and reduced $K$-theory”, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, 1980, 311–317
101.	V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Class numbers and groups of algebraic groups”, Math. USSR-Izv., 14:3 (1980), 547–569
102.	V. P. Platonov, “O privedennoi $K$-teorii dlya $n$-kratno genzelevykh polei”, Dokl. AN SSSR, 249:6 (1979), 1318–1320	1 ^[x]
103.	V. P. Platonov, V. I. Yanchevskii, “Privedennaya gruppa Uaitkheda dlya tel nekommutativnykh ratsionalnykh funktsii”, Dokl. AN SSSR, 249:5 (1979), 1064–1068	2 ^[x]
104.	V. P. Platonov, “K probleme ratsionalnosti spinornykh mnogoobrazii”, Dokl. AN SSSR, 248:3 (1979), 524–527	1 ^[x]
105.	V. P. Platonov, A. S. Rapinchuk, “O gruppe ratsionalnykh tochek trekhmernykh grupp”, Dokl. AN SSSR, 247:2 (1979), 279–282	3 ^[x]
106.	V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Chisla klassov algebraicheskikh grupp”, Dokl. AN SSSR, 245:1 (1979), 28–31	2 ^[x]
107.	V. P. Platonov, V. I. Yanchevskii, “O stabilnosti v privedennoi $K$-teorii”, Dokl. AN SSSR, 242:4 (1978), 769–772	3 ^[x]
108.	V. P. Platonov, “Biratsionalnye svoistva privedennoi gruppy Uaitkheda”, Dokl. AN BSSR, 21:3 (1977), 197–198, 283
109.	V. P. Platonov, “Algebraicheskaya gruppa”, Matematicheskaya entsiklopediya, v. 1, M., 1977, 142–143
110.	V. P. Platonov, “Privedennaya gruppa Uaitkheda dlya tsiklicheskikh algebr”, Dokl. AN SSSR, 228:1 (1976), 38–40	1 ^[x]
111.	V. P. Platonov, “The Tannaka–Artin problem and reduced $K$-theory”, Math. USSR-Izv., 10:2 (1976), 211–243
112.	V. P. Platonov, “The infinitude of the reduced Whitehead group in the Tannaka–Artin problem”, Math. USSR-Sb., 29:2 (1976), 167–176
113.	V. P. Platonov, “Reduced $K$-theory and approximation in algebraic groups”, Proc. Steklov Inst. Math., 142 (1979), 213–224
114.	V. P. Platonov, “Remarks on my paper "The Tannaka–Artin problem and reduced $K$-theory"”, Izv. Akad. Nauk SSSR Ser. Mat., 40:5 (1976), 1198
115.	V. P. Platonov, “Ob approksimatsii v algebraicheskikh gruppakh nad proizvolnymi polyami”, Dokl. AN SSSR, 229:4 (1976), 804–807	1 ^[x]
116.	V. P. Platonov, “O beskonechnosti privedennoi gruppy Uaitkheda”, Dokl. AN SSSR, 227:2 (1976), 299–301	1 ^[x]
117.	V. P. Platonov, “Arifmeticheskie i strukturnye problemy v lineinykh algebraicheskikh gruppakh”, Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), v. 1, Anad. Math. Ongress, Montreal, Que., 1975, 471–478
118.	V. P. Platonov, V. I. Yanchevskii, “O gipoteze Knezera–Titsa dlya unitarnykh grupp”, Dokl. AN SSSR, 225:1 (1975), 48–51	5 ^[x]
119.	V. P. Platonov, “Konechnost minimalnykh neprivodimykh lineinykh grupp”, Izv. AN BSSR. Ser. fiz.-mat. n., 1975, no. 5, 96–97, 141
120.	V. P. Platonov, “Problema Tannaka–Artina i gruppy proektivnykh konorm”, Dokl. AN SSSR, 222:6 (1975), 1299–1302	4 ^[x]
121.	V. P. Platonov, “O probleme Tannaka–Artina”, Dokl. AN SSSR, 221:5 (1975), 1038–1041	10 ^[x]
122.	V. P. Platonov, V. I. Yanchevskii, “O gipoteze Khardera”, Dokl. AN SSSR, 221:4 (1975), 784–787	5 ^[x]
123.	V. P. Platonov, “Algebraic groups”, J. Soviet Math., 4:5 (1975), 463–482
124.	V. P. Platonov, “Gipoteza Dedonne i nesyur'ektivnost nakrytii algebraicheskikh grupp na $k$-tochkakh”, Dokl. AN SSSR, 216 (1974), 986–989	3 ^[x]
125.	V. P. Platonov, “The arithmetic theory of linear algebraic groups and number theory”, Proc. Steklov Inst. Math., 132 (1973), 184–191
126.	V. P. Platonov, M. V. Milovanov, “Opredelyaemost algebraicheskikh grupp arifmeticheskimi podgruppami”, Dokl. AN SSSR, 209 (1973), 43–46	1 ^[x]
127.	V. P. Platonov, V. I. Yanchevskii, “Struktura unitarnykh grupp i kommutant prostoi algebry nad globalnymi polyami”, Dokl. AN SSSR, 208 (1973), 541–544	7 ^[x]
128.	V. P. Platonov, A. A. Sharomet, “O kongruents-probleme dlya lineinykh grupp nad arifmeticheskimi koltsami”, Dokl. AN BSSR, 16 (1972), 393–396, 477
129.	V. P. Platonov, “O probleme roda v arifmeticheskikh gruppakh”, Dokl. AN SSSR, 200 (1971), 793–796	4 ^[x]
130.	V. P. Platonov, “K probleme maksimalnosti arifmeticheskikh podgrupp”, Dokl. AN SSSR, 200 (1971), 530–533	5 ^[x]
131.	V. P. Platonov, Nguen Kuok Tkhi, “Maksimalnye periodicheskie podgruppy lokalno kompaktnykh grupp”, Dokl. AN BSSR, 15 (1971), 575–577
132.	V. P. Platonov, “O kongruents-probleme dlya razreshimykh tselochislennykh grupp”, Dokl. AN BSSR, 15 (1971), 869–872
133.	V. P. Platonov, “Addendum to the paper “The problem of strong approximation and the Kneser–Tits conjecture for algebraic groups””, Math. USSR-Izv., 4:4 (1970), 784–786
134.	V. P. Platonov, G. V. Matveev, “Gruppy adelei i finitnaya approksimiruemost lineinykh grupp otnositelno sopryazhennosti”, Dokl. AN BSSR, 14 (1970), 777–779
135.	V. P. Platonov, “The problem of strong approximation and the Kneser–Tits conjecture for algebraic groups”, Math. USSR-Izv., 3:6 (1969), 1139–1147
136.	V. P. Platonov, “Adele groups and integral representations”, Math. USSR-Izv., 3:1 (1969), 147–154
137.	V. P. Platonov, “On a problem of Mal'tsev”, Math. USSR-Sb., 8:4 (1969), 599–602
138.	V. P. Platonov, “Notes to my paper “Groups and integer representations””, Math. USSR-Izv., 3:4 (1969), 879
139.	V. P. Platonov, “Silnaya approksimatsiya v algebraicheskikh gruppakh i gipoteza Knezera–Titsa”, Dokl. AN BSSR, 13 (1969), 585–587
140.	V. P. Platonov, “A proof of the finiteness hypothesis for solvable subgroups of algebraic groups”, Siberian Math. J., 10:5 (1969), 800–804
141.	V. P. Platonov, “Some remarks on linear groups”, Math. Notes, 4:6 (1968), 873–874
142.	V. P. Platonov, “Gruppy adelei i problemy roda dlya tselochislennykh predstavlenii”, Dokl. AN BSSR, 12 (1968), 866–868
143.	V. P. Platonov, “Ob odnoi zadache dlya konechno porozhdennykh grupp”, Dokl. AN BSSR, 12 (1968), 492–494
144.	V. P. Platonov, “O topologicheskikh gruppakh s kompaktnym spektrom”, Dokl. AN BSSR, 12 (1968), 298
145.	V. P. Platonov, “Invariance theorems and algebraic groups with an almost-regular automorphism”, Math. USSR-Izv., 1:3 (1967), 667–675
146.	V. P. Platonov, “Structure of topological locally projectively nilpotent groups, and of groups with a normalizer condition”, Math. USSR-Sb., 1:1 (1967), 31–47
147.	V. P. Platonov, “Maksimalnye ogranichennye podgruppy $p$-adicheskikh grupp”, Dokl. AN BSSR, 11 (1967), 201–203
148.	V. P. Platonov, “Lineinye gruppy s tozhdestvennymi sootnosheniyami”, Dokl. AN BSSR, 11 (1967), 581–582
149.	V. P. Platonov, “Locally projectively nilpotent subgroups and nilelements in topological groups”, Izv. Akad. Nauk SSSR Ser. Mat., 30:6 (1966), 1257–1274
150.	V. P. Platonov, “The theory of algebraic linear groups and periodic groups”, Izv. Akad. Nauk SSSR Ser. Mat., 30:3 (1966), 573–620
151.	V. P. Platonov, “Avtomorfizmy algebraicheskikh grupp”, Dokl. AN SSSR, 168 (1966), 1257–1260	2 ^[x]
152.	V. P. Platonov, “Podgruppa Frattini lineinykh grupp i finitnaya approksimiruemost”, Dokl. AN SSSR, 171 (1966), 798–801	6 ^[x]
153.	V. P. Platonov, “Periodic and compact subgroups of topological groups”, Siberian Math. J., 7:4 (1966), 681–697
154.	V. P. Platonov, “Certain classes of topological groups”, Siberian Math. J., 7:5 (1966), 871–878
155.	V. P. Platonov, A. E. Zalesskii, “O zadache Auerbakha”, Dokl. AN BSSR, 10:1 (1966), 5–6
156.	V. P. Platonov, “Lokalno proektivno nilpotentnyi radikal v topologicheskikh gruppakh”, Dokl. AN BSSR, 9 (1965), 573–577
157.	V. P. Platonov, “K teorii topologicheskikh grupp”, Dokl. AN SSSR, 162 (1965), 755–758	1 ^[x]
158.	V. P. Platonov, “Stroenie periodicheskikh lineinykh grupp i algebraicheskie gruppy”, Dokl. AN SSSR, 160 (1965), 541–544	1 ^[x]
159.	V. P. Platonov, “Engelevy elementy i radikal v PI-algebrakh i topologicheskikh gruppakh”, Dokl. AN SSSR, 161 (1965), 288–291	2 ^[x]
160.	V. P. Platonov, “Periodicheskie i lokalno nilpotentnye podgruppy topologicheskikh grupp”, Dokl. AN SSSR, 158 (1964), 524–527
161.	V. P. Platonov, “Lokalno proektivno nilpotentnye topologicheskie gruppy i gruppy s normalizatornym usloviem”, Dokl. AN BSSR, 8 (1964), 767–771
162.	V. P. Platonov, “O polnoi privodimosti lineinykh grupp”, Izv. AN BSSR. Ser. fiz.-tekhn. n., 1964:3 (1964), 126–128
163.	V. P. Platonov, “O nekotorykh klassakh topologicheskikh grupp”, Dokl. AN SSSR, 158 (1964), 784–787
164.	V. P. Platonov, “Rasscheplyaemye lineinye gruppy”, Dokl. AN SSSR, 151 (1963), 286–289	1 ^[x]
165.	V. P. Platonov, “Periodicheskie podgruppy algebraicheskikh grupp”, Dokl. AN SSSR, 153 (1963), 270–272	1 ^[x]
166.	V. P. Platonov, “Algebraicheskie $D$-gruppy”, Dokl. AN BSSR, 7 (1963), 729–731
167.	V. P. Platonov, “O razreshimykh algebraicheskikh lineinykh gruppakh”, Dokl. AN BSSR, 7 (1963), 439–442
168.	L. A. Suprunenko, V. P. Platonov, “Ob odnoi teoreme Shura”, Dokl. AN BSSR, 7 (1963), 510–512
169.	V. P. Platonov, “Razreshimye algebraicheskie gruppy”, Dokl. AN BSSR, 7 (1963), 298–300
170.	V. P. Platonov, “Razreshimye algebraicheskie gruppy”, Dokl. AN SSSR, 151 (1963), 48–51	1 ^[x]
171.	V. P. Platonov, “K teorii algebraicheskikh lineinykh grupp”, Dokl. AN SSSR, 146 (1962), 1025–1026
172.	V. P. Platonov, “Odin klass topologicheskikh prostykh grupp”, Dokl. AN SSSR, 6 (1962), 212–213
173.	V. P. Platonov, “Algebraicheskie matrichnye gruppy”, UMN, 17:6 (1962), 204–205	3 ^[x]
174.	A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Russian Math. Surveys, 79:4 (2024), 739–745
175.	V. M. Buchstaber, V. P. Platonov, A. L. Semenov, V. A. Bykovskii, Yu. V. Nesterenko, V. N. Chubarikov, N. M. Dobrovol'skii, “Sergei Petrovich Novikov (20.03.1938 – 6.06.2024)”, Chebyshevskii Sb., 25:2 (2024), 364–365
176.	F. A. Bogomolov, A. M. Vershik, S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarhin, S. V. Konyagin, Vik. S. Kulikov, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, I. A. Panin, V. P. Platonov, V. L. Popov, Yu. G. Prokhorov, A. L. Smirnov, “Alexey Nikolaevich Parshin (obituary)”, Russian Math. Surveys, 78:3 (2023), 549–554
177.	L. A. Bokut', E. I. Zelmanov, P. Zusmanovich, V. G. Kac, L. G. Makar-Limanov, Yu. I. Manin, S. P. Novikov, A. N. Parshin, V. P. Platonov, I. A. Taimanov, U. U. Umirbaev, I. P. Shestakov, “Askar Serkulovich Dzhumadil'daev (on his 60th birthday)”, Russian Math. Surveys, 72:4 (2017), 777–781
178.	L. A. Bokut', E. S. Golod, R. I. Grigorchuk, V. N. Zhelyabin, V. G. Kats, A. R. Kemer, V. V. Kirichenko, P. S. Kolesnikov, S. S. Kutateladze, V. N. Latyshev, Yu. N. Maltsev, G. A. Margulis, A. V. Mikhalev, A. G. Myasnikov, S. P. Novikov, A. Yu. Ol'shanskii, A. N. Parshin, V. P. Platonov, Yu. G. Reshetnyak, N. S. Romanovskii, I. A. Taimanov, O. G. Kharlampovich, V. K. Kharchenko, L. N. Shevrin, I. P. Shestakov, A. V. Yakovlev, “Efim Isaakovich Zelmanov is 60 years old”, Russian Math. Surveys, 71:4 (2016), 793–800
179.	A. I. Aptekarev, A. L. Afendikov, V. M. Buchstaber, S. K. Godunov, A. B. Zhizhchenko, V. V. Kozlov, A. I. Maslov, V. P. Platonov, V. F. Tishkin, L. D. Faddeev, “Boris Nikolaevich Chetverushkin (on his 70th birthday)”, Russian Math. Surveys, 69:2 (2014), 387–392
180.	N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754
181.	F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193
182.	Russian Math. Surveys, 54:2 (1999), 477
183.	A. S. Dzhumadil'daev, V. P. Platonov, “Soviet-Indian Symposium “Algebraic Groups and Lie Algebras””, Russian Math. Surveys, 45:6 (1990), 191–199
184.	V. I. Bernik, I. P. Kubilyus, V. P. Platonov, “All-Union School “Constructive Methods and Algorithms of Number Theory””, Uspekhi Mat. Nauk, 45:2(272) (1990), 230
185.	R. T. Volvachev, I. V. Gaishun, L. I. Kiselevskii, V. I. Krylov, V. P. Platonov, F. I. Fedorov, “Dmitrii Alekseevich Suprunenko”, Izv. AN BSSR. Ser. fiz.-mat. n., 1990, no. 6, 112–114
186.	V. I. Vorotnikov, L. N. Zaikov, E. K. Ligachev, A. N. Yakovlev, G. I. Marchuk, V. A. Grigor'ev, G. A. Yagodin, V. A. Kotel'nikov, P. N. Fedoseev, E. P. Velikhov, K. V. Frolov, A. A. Logunov, A. L. Yanshin, I. M. Makarov, N. G. Basov, N. N. Bogolyubov, V. S. Vladimirov, I. M. Gel'fand, A. A. Gonchar, N. N. Krasovskii, M. M. Lavrent'ev, V. A. Mel'nikov, Yu. A. Mitropol'skii, E. F. Mishchenko, S. M. Nikol'skii, S. P. Novikov, V. P. Platonov, A. V. Pogorelov, Yu. V. Prokhorov, L. I. Sedov, S. L. Sobolev, A. N. Tikhonov, L. D. Faddeev, R. V. Gamkrelidze, “Academician Lev Semenovich Pontryagin (obituary)”, Russian Math. Surveys, 44:1 (1989), 1–2
187.	V. I. Bernik, A. A. Karatsuba, I. P. Kubilyus, V. P. Platonov, D. A. Suprunenko, “Vladimir Gennadievich Sprindzhuk (obituary)”, Russian Math. Surveys, 43:4 (1988), 195–197
188.	Yu. L. Ershov, D. I. Zaitsev, A. I. Kostrikin, N. N. Krasovskii, Yu. A. Mitropol'skii, V. P. Platonov, D. K. Faddeev, L. A. Shemetkov, “Sergei Nikolaevich Chernikov (obituary)”, Russian Math. Surveys, 43:2 (1988), 153–155
189.	V. I. Arnautov, A. I. Kostrikin, V. P. Platonov, Yu. M. Ryabukhin, L. A. Skornyakov, “Vladimir Aleksandrovich Andrunakievich (on his seventieth birthday)”, Russian Math. Surveys, 43:1 (1988), 261–263
190.	V. P. Platonov, D. A. Suprunenko, V. I. Bernik, R. T. Volvachev, “Vladimir Gennadevich Sprindzhuk”, Izv. AN BSSR. Ser. fiz.-mat. n., 1988, no. 1, 120–121
191.	V. P. Platonov, D. A. Suprunenko, R. T. Volvachev, A. E. Zalesskii, A. V. Romanovskii, “Sergei Antonovich Chunikhin”, Izv. AN BSSR. Ser. fiz.-mat. n., 1986, no. 1, 122–123
192.	V. P. Platonov, R. T. Volvachev, A. E. Zalesskii, “Dmitrii Alekseevich Suprunenko (k 70-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1985, no. 6, 116–117
193.	V. P. Platonov, R. T. Volvachev, M. I. Saluk, A. V. Romanovskii, “Sergei Antonovich Chunikhin (k 80-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1985, no. 5, 115–116
194.	O. V. Mel'nikov, V. P. Platonov, “All-Union Algebraic Conference (Minsk)”, Uspekhi Mat. Nauk, 39:3(237) (1984), 253–255
195.	V. P. Platonov, Predislovie k kn.: Dzh. Khamfri, Arifmeticheskie gruppy, Mir, M., 1983, 5–6
196.	V. P. Platonov, V. I. Yanchevskii, Dokl. Akad. Nauk SSSR, 245:3 (1979), 520
197.	V. P. Platonov, L. A. Yanovich, “Vladimir Ivanovich Krylov (k 75-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1977, no. 6, 124–126
198.	V. P. Platonov, “Ispravlenie: “Privedennaya gruppa Uaitkheda dlya tsiklicheskikh algebr” (Dokl. AN SSSR 228:1 (1976), 38–40)”, Dokl. AN SSSR, 230:1 (1976), 8
199.	A. E. Zalesskii, V. S. Konyukh, V. P. Platonov, “Dmitrii Alekseevich Suprunenko (k 60-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1975, no. 5, 131–132
200.	V. P. Platonov, Predislovie k kn.: A. Borel, Lineinye algebraicheskie gruppy, Mir, M., 1972, 5–6
201.	V. P. Platonov, “All-Union School on Algebraic Groups”, Uspekhi Mat. Nauk, 25:1(151) (1970), 211–212
202.	V. P. Platonov, Dokl. Akad. Nauk SSSR, 167:6 (1966), 726
203.	V. P. Platonov, Dokl. Akad. Nauk SSSR, 167:6 (1966), 726

Presentations in Math-Net.Ru

1.	Алгебро-геометрическое строение якобианов кривых рода 2 и проблема кручения над полем рациональных чисел V. P. Platonov I. M. Gelfand and Modern Mathematics December 17, 2013 14:15
2.	Number-theoretical properties of hyperelliptic fields Vladimir Platonov International conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone (1890–1980) August 19, 2010 10:00
3.	Arithmetic groups V. P. Platonov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences January 29, 2007
4.	Арифметические подгруппы в алгебраических группах (обзор результатов) V. P. Platonov Seminar on Arithmetic Algebraic Geometry November 9, 2005
5.	New properties of lattices in Lie groups V. P. Platonov Seminar by Algebra Department November 1, 2005

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