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Vavilov, Nikolay Aleksandrovich

Statistics Math-Net.Ru
Total publications: 94
Scientific articles: 90
Presentations: 14

Number of views:
This page:16727
Abstract pages:24092
Full texts:7700
References:1967
Professor
Doctor of physico-mathematical sciences (1988)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords: algebraic groups, Chevalley groups, exceptional groups, classical groups, representation theory, algebraic K-theory, Lie algebras, Hopf algebras, associative and non-associative rings, rings, exceptional objects in algebra and geometry, arithmetic groups, presentations of groups, finite groups and geometries, computer algebra and symbolic computation, multilinear algebra, algebraic geometry, algebraic number theory.

Subject:

Structure theory and representations of algebraic groups, algebraic K-theory, overgroups of semisimple groups and tori.

Biography

Zum sehen geboren, zum schauen bestellt

   
Main publications:
  1. A.Stepanov, N.Vavilov, “Decomposition of transvections: a theme with variations”, K-theory, 19 (2000), 109–153
  2. N.Vavilov, “A third look at weight diagrams”, Rendiconti del Seminario Matematico dell'Universitá di Padova, 104 (2000), 201–250
  3. A.Bak, N.Vavilov, “Structure of hyperbolic unitary groups. I. Elementary subgroups”, Algebra Colloquium, 7:2 (2000), 159–196
  4. A.Bak, N.Vavilov, “Presenting powers of augmentation ideal and quadratic forms”, K-theory, 20 (2000), 299–309
  5. R.Hazrat, N.Vavilov, “$K_1$ of Chevalley groups are nilpotent”, J. Pure Appl. Algebra, 179 (2003), 99–116

http://www.mathnet.ru/eng/person21987
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:vavilov.nikolai-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/189570

Publications in Math-Net.Ru
2019
1. N. Vavilov, Z. Zhang, “Commutators of relative and unrelative elementary groups, revisited”, Zap. Nauchn. Sem. POMI, 485 (2019),  58–71  mathnet
2. N. Vavilov, “Towards the reverse decomposition of unipotents. II. The relative case”, Zap. Nauchn. Sem. POMI, 484 (2019),  5–22  mathnet
3. N. Vavilov, “Commutators of congruence subgroups in the arithmetic case”, Zap. Nauchn. Sem. POMI, 479 (2019),  5–22  mathnet
2018
4. N. Vavilov, “Unrelativised standard commutator formula”, Zap. Nauchn. Sem. POMI, 470 (2018),  38–49  mathnet; J. Math. Sci. (N. Y.), 243:4 (2019), 527–534  scopus
5. N. A. Vavilov, “Towards the reverse decomposition of unipotents”, Zap. Nauchn. Sem. POMI, 470 (2018),  21–37  mathnet; J. Math. Sci. (N. Y.), 243:4 (2019), 515–526  scopus
2016
6. R. Hazrat, N. Vavilov, Z. Zhang, “The commutators of classical groups”, Zap. Nauchn. Sem. POMI, 443 (2016),  151–221  mathnet  mathscinet; J. Math. Sci. (N. Y.), 222:4 (2017), 466–515  scopus
2015
7. N. A. Vavilov, A. Yu. Luzgarev, “Normaliser of the Chevalley group of type $\mathrm E_7$”, Algebra i Analiz, 27:6 (2015),  57–88  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:6 (2016), 899–921  isi  scopus
8. A. Luzgarev, N. Vavilov, “Calculations in exceptional groups, an update”, Zap. Nauchn. Sem. POMI, 432 (2015),  177–195  mathnet; J. Math. Sci. (N. Y.), 209:6 (2015), 922–934  scopus
2014
9. N. A. Vavilov, “Decomposition of unipotents for $\mathrm E_6$ and $\mathrm E_7$: 25 years after”, Zap. Nauchn. Sem. POMI, 430 (2014),  32–52  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:3 (2016), 355–369
10. R. Hazrat, A. V. Stepanov, N. A. Vavilov, Z. Zhang, “The yoga of commutators: further applications”, Zap. Nauchn. Sem. POMI, 421 (2014),  166–213  mathnet; J. Math. Sci. (N. Y.), 200:6 (2014), 742–768  scopus
2012
11. N. A. Vavilov, A. A. Semenov, “Long root tori in Chevalley groups”, Algebra i Analiz, 24:3 (2012),  22–83  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 24:3 (2013), 387–430  isi  elib  scopus
12. N. A. Vavilov, A. V. Shchegolev, “Overgroups of subsystem subgroups in exceptional groups: levels”, Zap. Nauchn. Sem. POMI, 400 (2012),  70–126  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:2 (2013), 164–195  scopus
13. K. O. Batalkin, N. A. Vavilov, “Parabolic subgroups of $\mathrm{SO}_{2l}$ over a Dedekind ring of arithmetic type”, Zap. Nauchn. Sem. POMI, 400 (2012),  50–69  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:2 (2013), 154–163  scopus
2011
14. N. A. Vavilov, “An $\mathrm A_3$-proof of the structure theorems for Chevalley groups of types $\mathrm E_6$ and $\mathrm E_7$. II. The main lemma”, Algebra i Analiz, 23:6 (2011),  1–31  mathnet  mathscinet  elib; St. Petersburg Math. J., 23:6 (2012), 921–942  isi  elib  scopus
15. A. S. Ananyevskiy, N. A. Vavilov, S. S. Sinchuk, “Overgroups of $E(m,R)\otimes E(n,R)$. I”, Algebra i Analiz, 23:5 (2011),  55–98  mathnet  mathscinet  elib; St. Petersburg Math. J., 23:5 (2012), 819–849  isi  elib  scopus
16. N. A. Vavilov, S. S. Sinchuk, “Parabolic factorizations of split classical groups”, Algebra i Analiz, 23:4 (2011),  1–30  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:4 (2012), 637–657  isi  elib  scopus
17. N. A. Vavilov, A. V. Stepanov, “Linear groups over general rings. I. Generalities”, Zap. Nauchn. Sem. POMI, 394 (2011),  33–139  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:5 (2013), 490–550  scopus
18. N. A. Vavilov, E. I. Kovach, “$\mathrm{SL}_2$-factorisations of Chevalley groups”, Zap. Nauchn. Sem. POMI, 394 (2011),  20–32  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:5 (2013), 483–489  scopus
19. N. A. Vavilov, A. V. Smolensky, B. Sury, “Unitriangular factorisations of Chevalley groups”, Zap. Nauchn. Sem. POMI, 388 (2011),  17–47  mathnet; J. Math. Sci. (N. Y.), 183:5 (2012), 584–599  scopus
20. R. Hazrat, A. Stepanov, N. Vavilov, Z. Zhang, “The yoga of commutators”, Zap. Nauchn. Sem. POMI, 387 (2011),  53–82  mathnet; J. Math. Sci. (N. Y.), 179:6 (2011), 662–678  scopus
21. N. A. Vavilov, A. Yu. Luzgarev, “Chevalley group of type $\mathrm E_7$ in the 56-dimensional representation”, Zap. Nauchn. Sem. POMI, 386 (2011),  5–99  mathnet; J. Math. Sci. (N. Y.), 180:3 (2012), 197–251  scopus
2010
22. N. A. Vavilov, “The structure of isotropic reductive groups”, Tr. Inst. Mat., 18:1 (2010),  15–27  mathnet
23. N. A. Vavilov, S. S. Sinchuk, “Dennis–Vaserstein type decompositions”, Zap. Nauchn. Sem. POMI, 375 (2010),  48–60  mathnet; J. Math. Sci. (N. Y.), 171:3 (2010), 331–337  scopus
24. N. A. Vavilov, V. G. Kazakevich, “More variations on decomposition of transvections”, Zap. Nauchn. Sem. POMI, 375 (2010),  32–47  mathnet; J. Math. Sci. (N. Y.), 171:3 (2010), 322–330  scopus
25. N. A. Vavilov, “Some more exceptional numerology”, Zap. Nauchn. Sem. POMI, 375 (2010),  22–31  mathnet; J. Math. Sci. (N. Y.), 171:3 (2010), 317–321  scopus
26. A. V. Alexandrov, N. A. Vavilov, “Parabolic subgroups of $\mathrm{SL}_n$ and $\mathrm{Sp}_{2l}$ over a Dedekind ring of arithmetic type”, Zap. Nauchn. Sem. POMI, 375 (2010),  5–21  mathnet; J. Math. Sci. (N. Y.), 171:3 (2010), 307–316  scopus
2009
27. N. Vavilov, A. Luzgarev, A. Stepanov, “Calculations in exceptional groups over rings”, Zap. Nauchn. Sem. POMI, 373 (2009),  48–72  mathnet; J. Math. Sci. (N. Y.), 168:3 (2010), 334–348  scopus
28. N. A. Vavilov, V. G. Kazakevich, “Decomposition of transvections for automorphisms”, Zap. Nauchn. Sem. POMI, 365 (2009),  47–62  mathnet  zmath  elib; J. Math. Sci. (N. Y.), 161:4 (2009), 483–491  scopus
29. A. S. Ananievskiy, N. A. Vavilov, S. S. Sinchuk, “Overgroups of $E(m,R)\otimes E(n,R)$”, Zap. Nauchn. Sem. POMI, 365 (2009),  5–28  mathnet  elib; J. Math. Sci. (N. Y.), 161:4 (2009), 461–473  scopus
2008
30. N. A. Vavilov, “Numerology of square equations”, Algebra i Analiz, 20:5 (2008),  9–40  mathnet  mathscinet  zmath; St. Petersburg Math. J., 20:5 (2009), 687–707  isi
31. N. A. Vavilov, S. I. Nikolenko, “$\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$”, Algebra i Analiz, 20:4 (2008),  27–63  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 20:4 (2009), 527–551  isi
32. N. Vavilov, “Weight elements of Chevalley groups”, Algebra i Analiz, 20:1 (2008),  34–85  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 20:1 (2009), 23–57  isi
33. N. A. Vavilov, V. V. Nesterov, “Geometry of microweight tori”, Vladikavkaz. Mat. Zh., 10:1 (2008),  10–23  mathnet  mathscinet  elib
2007
34. N. A. Vavilov, A. Yu. Luzgarev, “The normalizer of Chevalley groups of type $\mathrm{E}_6$”, Algebra i Analiz, 19:5 (2007),  37–64  mathnet  mathscinet  zmath; St. Petersburg Math. J., 19:5 (2008), 699–718  isi
35. N. A. Vavilov, “Can one see the signs of structure constants?”, Algebra i Analiz, 19:4 (2007),  34–68  mathnet  mathscinet  zmath; St. Petersburg Math. J., 19:4 (2008), 519–543  isi
36. N. Vavilov, “Geometry of 1-tori in $\mathrm{GL}(n,T)$”, Algebra i Analiz, 19:3 (2007),  119–150  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 19:3 (2008), 407–429  isi
37. N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(n,R)$”, Algebra i Analiz, 19:2 (2007),  10–51  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 19:2 (2008), 167–195  isi
38. N. A. Vavilov, A. K. Stavrova, “Basic reductions for the description of normal subgroups”, Zap. Nauchn. Sem. POMI, 349 (2007),  30–52  mathnet  elib; J. Math. Sci. (N. Y.), 151:3 (2008), 2949–2960  elib  scopus
39. N. A. Vavilov, “On subgroups of symplectic group containing a subsystem subgroup”, Zap. Nauchn. Sem. POMI, 349 (2007),  5–29  mathnet  mathscinet  elib; J. Math. Sci. (N. Y.), 151:3 (2008), 2937–2948  elib  scopus
40. N. A. Vavilov, I. M. Pevzner, “Triples of long root subgroups”, Zap. Nauchn. Sem. POMI, 343 (2007),  54–83  mathnet  mathscinet  elib; J. Math. Sci. (N. Y.), 147:5 (2007), 7005–7020  elib  scopus
41. N. A. Vavilov, “Subgroups of $\operatorname{SL}_n$ over a semilocal ring”, Zap. Nauchn. Sem. POMI, 343 (2007),  33–53  mathnet  mathscinet  elib; J. Math. Sci. (N. Y.), 147:5 (2007), 6995–7004  elib  scopus
2006
42. N. A. Vavilov, N. P. Kharchev, “Orbits of subsystem stabilisers”, Zap. Nauchn. Sem. POMI, 338 (2006),  98–124  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 145:1 (2007), 4751–4764  scopus
43. N. A. Vavilov, E. Ya. Perelman, “Polyvector representations of $\operatorname{GL}_n$”, Zap. Nauchn. Sem. POMI, 338 (2006),  69–97  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 145:1 (2007), 4737–4750  scopus
44. N. A. Vavilov, A. Yu. Luzgarev, I. M. Pevzner, “Chevalley group of type $\mathrm E_6$ in the 27-dimensional representation”, Zap. Nauchn. Sem. POMI, 338 (2006),  5–68  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 145:1 (2007), 4697–4736  elib  scopus
45. N. A. Vavilov, M. R. Gavrilovich, S. I. Nikolenko, “Structure of Chevalley groups: the proof from the Book”, Zap. Nauchn. Sem. POMI, 330 (2006),  36–76  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 140:5 (2007), 626–645  elib  scopus
2004
46. N. A. Vavilov, M. R. Gavrilovich, “An $\mathrm{A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm{E}_6$ and $\mathrm{E}_7$”, Algebra i Analiz, 16:4 (2004),  54–87  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:4 (2005), 649–672
2003
47. N. A. Vavilov, V. A. Petrov, “Overgroups of elementary symplectic groups”, Algebra i Analiz, 15:4 (2003),  72–114  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:4 (2004), 515–543
2002
48. N. A. Vavilov, V. A. Petrov, “Variations on a theme of Higman”, Zap. Nauchn. Sem. POMI, 289 (2002),  57–62  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4708–4710
49. N. A. Vavilov, “Subgroups of the spinor group containing a split maximal torus. II”, Zap. Nauchn. Sem. POMI, 289 (2002),  37–56  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4698–4707
2001
50. N. A. Vavilov, “Do it yourself structure constants for Lie algebras of types $\mathrm E_l$”, Zap. Nauchn. Sem. POMI, 281 (2001),  60–104  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:4 (2004), 1513–1548
51. N. A. Vavilov, “Subgroups of split orthogonal groups over a commutative ring”, Zap. Nauchn. Sem. POMI, 281 (2001),  35–59  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:4 (2004), 1501–1512
2000
52. N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(2l,R)$”, Zap. Nauchn. Sem. POMI, 272 (2000),  68–85  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 116:1 (2003), 2917–2925
1999
53. N. A. Vavilov, “Subgroups of the split orthogonal group. II”, Zap. Nauchn. Sem. POMI, 265 (1999),  42–63  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 112:3 (2002), 4266–4276
1997
54. N. A. Vavilov, V. I. Mysovskikh, Yu. G. Teterin, “Computational Group Theory in St. Petersburg”, Zap. Nauchn. Sem. POMI, 236 (1997),  42–49  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 95:2 (1999), 2070–2073
1993
55. N. A. Vavilov, “Unipotent elements in subgroups of extended Chevalley groups that contain a split maximal torus”, Dokl. Akad. Nauk, 328:5 (1993),  536–539  mathnet  mathscinet  zmath; Dokl. Math., 47:1 (1993), 112–116
1991
56. N. A. Vavilov, “On subgroups of the spinorial group containing a split maximal torus. I”, Zap. Nauchn. Sem. LOMI, 191 (1991),  49–75  mathnet  mathscinet  zmath; J. Soviet Math., 63:6 (1993), 638–652
1990
57. N. A. Vavilov, “Subgroups of splittable classical groups”, Trudy Mat. Inst. Steklov., 183 (1990),  29–42  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 183 (1991), 27–41
1989
58. N. A. Vavilov, E. B. Plotkin, A. V. Stepanov, “Calculations in Chevalley groups over commutative rings”, Dokl. Akad. Nauk SSSR, 307:4 (1989),  788–791  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 145–147
59. N. A. Vavilov, I. Khamdan, “Subgroups of the general linear group over a local field”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, 12,  8–15  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:12 (1989), 7–15
60. N. A. Vavilov, A. V. Stepanov, “Subgroups of the general linear group over a ring that satisfies stability conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, 10,  19–25  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:10 (1989), 23–31
61. N. A. Vavilov, “Linear groups generated by one-parameter groups of one-dimensional transformations”, Uspekhi Mat. Nauk, 44:1(265) (1989),  189–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:1 (1989), 265–266  isi
62. N. A. Vavilov, A. A. Semjonov, “Bruhat decomposition for long root tori in Chevalley groups”, Zap. Nauchn. Sem. LOMI, 175 (1989),  12–23  mathnet  mathscinet  zmath; J. Soviet Math., 57:6 (1991), 3453–3458
1988
63. N. A. Vavilov, “The structure of split classical groups over a commutative ring”, Dokl. Akad. Nauk SSSR, 299:6 (1988),  1300–1303  mathnet  mathscinet  zmath; Dokl. Math., 37:2 (1988), 550–553
64. N. A. Vavilov, “Conjugacy theorems for subgroups of extended Chevalley groups that contain split maximal tori”, Dokl. Akad. Nauk SSSR, 299:2 (1988),  269–272  mathnet  mathscinet  zmath; Dokl. Math., 37:2 (1988), 360–363
65. N. A. Vavilov, “Weight elements of Chevalley groups”, Dokl. Akad. Nauk SSSR, 298:3 (1988),  524–527  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 92–95
1987
66. N. A. Vavilov, “Subgroups of the general linear group over a Dedekind ring of arithmetic type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, 12,  14–20  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:12 (1987), 16–24
1984
67. Z. I. Borevich, N. A. Vavilov, “Arrangement of subgroups in the general linear group over a commutative ring”, Trudy Mat. Inst. Steklov., 165 (1984),  24–42  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 165 (1985), 27–46
1983
68. N. A. Vavilov, E. V. Dybkova, “Subgroups of the general symplectic group, containing the group of diagonal matrices. II”, Zap. Nauchn. Sem. LOMI, 132 (1983),  44–56  mathnet  mathscinet
69. Z. I. Borevich, N. A. Vavilov, “On definition of the net subgroup”, Zap. Nauchn. Sem. LOMI, 132 (1983),  26–33  mathnet  mathscinet  zmath
1982
70. Z. I. Borevich, N. A. Vavilov, “On the subgroups of the full linear group over a commutative ring”, Dokl. Akad. Nauk SSSR, 267:4 (1982),  777–778  mathnet  mathscinet  zmath
71. Z. I. Borevich, N. A. Vavilov, “Arrangement of subgroups containing a group of block diagonal matrices in the general linear group over a ring”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, 11,  12–16  mathnet  mathscinet  zmath
72. N. A. Vavilov, “On subgroups of the unitary group over a semilocal ring”, Uspekhi Mat. Nauk, 37:4(226) (1982),  147–148  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:4 (1982), 145–146  isi
73. N. A. Vavilov, “Parabolic subgroups of Chevalley groups over a commutative ring”, Zap. Nauchn. Sem. LOMI, 116 (1982),  20–43  mathnet  mathscinet  zmath; J. Soviet Math., 26:3 (1984), 1848–1860
74. Z. I. Borevich, N. A. Vavilov, “Net determinant over a Bezoutian local ring”, Zap. Nauchn. Sem. LOMI, 116 (1982),  5–13  mathnet  mathscinet  zmath; J. Soviet Math., 26:3 (1984), 1839–1844
75. N. A. Vavilov, E. B. Plotkin, “Net subgroups of Chevalley groups. II. Gauss decomposition”, Zap. Nauchn. Sem. LOMI, 114 (1982),  62–76  mathnet  mathscinet  zmath; J. Soviet Math., 27:4 (1984), 2874–2885
76. N. A. Vavilov, “A Bruhat decomposition for subgroups containing the group of diagonal matrices. II”, Zap. Nauchn. Sem. LOMI, 114 (1982),  50–61  mathnet  mathscinet  zmath; J. Soviet Math., 27:4 (1984), 2865–2874
77. Z. I. Borevich, N. A. Vavilov, “Determinants in net subgroups”, Zap. Nauchn. Sem. LOMI, 114 (1982),  37–49  mathnet  mathscinet  zmath; J. Soviet Math., 27:4 (1984), 2855–2865
1980
78. N. A. Vavilov, E. V. Dybkova, “Subgroups of the general symplectic group containing the group of diagonal matrices”, Zap. Nauchn. Sem. LOMI, 103 (1980),  31–47  mathnet  mathscinet  zmath; J. Soviet Math., 24:4 (1984), 406–416
79. N. A. Vavilov, “Bruhat decomposition for subgroups containing the group of diagonal matrices”, Zap. Nauchn. Sem. LOMI, 103 (1980),  20–30  mathnet  mathscinet  zmath; J. Soviet Math., 24:4 (1984), 399–406
1979
80. N. A. Vavilov, E. B. Plotkin, “Net subgroups of Chevalley groups”, Zap. Nauchn. Sem. LOMI, 94 (1979),  40–49  mathnet  mathscinet  zmath; J. Soviet Math., 19:1 (1982), 1000–1006
81. N. A. Vavilov, L. Yu. Kolotilina, “Normal structure of the full linear group over a semilocal ring”, Zap. Nauchn. Sem. LOMI, 94 (1979),  37–39  mathnet  mathscinet  zmath; J. Soviet Math., 19:1 (1982), 998–999
82. N. A. Vavilov, “Parabolic subgroups of twisted Chevalley groups over a semilocal ring”, Zap. Nauchn. Sem. LOMI, 94 (1979),  21–36  mathnet  mathscinet  zmath; J. Soviet Math., 19:1 (1982), 987–998
83. Z. I. Borevich, N. A. Vavilov, V. Narkevich, “Subgroups of the full linear group over a Dedekind ring”, Zap. Nauchn. Sem. LOMI, 94 (1979),  13–20  mathnet  mathscinet  zmath; J. Soviet Math., 19:1 (1982), 982–987
84. N. A. Vavilov, “Self-normalizing nilpotent subgroups of the full linear group over a finite field”, Zap. Nauchn. Sem. LOMI, 86 (1979),  34–39  mathnet  mathscinet  zmath; J. Soviet Math., 17:4 (1981), 1963–1967
85. N. A. Vavilov, “Description of subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices”, Zap. Nauchn. Sem. LOMI, 86 (1979),  30–33  mathnet  mathscinet  zmath; J. Soviet Math., 17:4 (1981), 1960–1963
1978
86. Z. I. Borevich, N. A. Vavilov, “Subgroups of the general linear group over a semilocal ring that contain a group of diagonal matrices”, Trudy Mat. Inst. Steklov., 148 (1978),  43–57  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 148 (1980), 41–54
87. N. A. Vavilov, “Parabolic subgroups of Chevalley groups over a semilocal ring”, Zap. Nauchn. Sem. LOMI, 75 (1978),  43–58  mathnet  mathscinet  zmath; J. Soviet Math., 37:2 (1987), 942–952
88. Z. I. Borevich, N. A. Vavilov, “Subgroups of the full linear group over a semilocal ring”, Zap. Nauchn. Sem. LOMI, 75 (1978),  32–34  mathnet  mathscinet  zmath; J. Soviet Math., 37:2 (1987), 935–937
1977
89. N. A. Vavilov, “Parabolic subgroups of the general linear group over Dedekind domain of arithmetic type”, Zap. Nauchn. Sem. LOMI, 71 (1977),  66–79  mathnet  mathscinet  zmath; J. Soviet Math., 20:6 (1982), 2546–2555
1976
90. N. A. Vavilov, “Parabolic congruence subgroups in linear groups”, Zap. Nauchn. Sem. LOMI, 64 (1976),  55–63  mathnet  mathscinet  zmath; J. Soviet Math., 17:2 (1981), 1748–1754

2015
91. D. G. Benua, M. V. Bondarko, N. A. Vavilov, M. A. Vsemirnov, A. I. Generalov, N. L. Gordeev, I. B. Zhukov, G. A. Leonov, B. B. Lur'e, I. A. Panin, A. L. Smirnov, I. B. Fesenko, A. V. Yakovlev, “To the anniversary of Sergei Vladimirovich Vostokov”, Algebra i Analiz, 27:6 (2015),  3–5  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:6 (2016), 861–862  isi  scopus
92. N. A. Vavilov, A. Kh. Zhurtov, A. S. Kondrat'ev, A. G. Kusraev, V. M. Levchuk, V. D. Mazurov, A. A. Makhnev, Ya. N. Nuzhin, U. M. Pachev, B. I. Plotkin, N. S. Romanovskii, “Koibaev Vladimir Amurkhanovich (on his 60th birthday)”, Vladikavkaz. Mat. Zh., 17:2 (2015),  68–70  mathnet
2014
93. 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)”, Uspekhi Mat. Nauk, 69:4(418) (2014),  177–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:4 (2014), 753–754  isi
2000
94. N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, B. B. Lur'e, A. S. Merkur'ev, V. V. Ishkhanov, I. A. Panin, A. I. Skopin, A. A. Suslin, “Anatolii Vladimirovich Yakovlev”, Zap. Nauchn. Sem. POMI, 272 (2000),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 116:1 (2003), 2883–2886

Presentations in Math-Net.Ru
1. Reverse decomposition of unipotents
N. Vavilov
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 15, 2017 10:00   
2. Structure and K-theory of Chevalley groups over rings
N. A. Vavilov
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
June 16, 2016 14:00   
3. Higher composition laws and exceptional groups
N. A. Vavilov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
April 13, 2016 14:00
4. Structure of isotropic reductive groups
N. A. Vavilov
Algebraic Geometry and Number Theory
June 24, 2014 12:30   
5. New computation methods in exceptional Chevalley groups
N. A. Vavilov
Lie groups and invariant theory
October 24, 2012 16:45
6. Higher composition laws and exceptonal groups
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
May 25, 2010
7. Mathematical proof: yesterday, today, tomorrow
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
March 23, 2010
8. Конструкции исключительных групп
Nikolay Vavilov
Homology and homotopy methods in geometry
February 17, 2010
9. Строение изотропных редуктивных групп
N. A. Vavilov
Seminar of Algebra Department
February 16, 2010 15:00
10. Высшие законы композиции и исключительные группы
N. A. Vavilov
Meetings of the Moscow Mathematical Society
February 16, 2010
11. Строение исключительных групп над кольцами
N. A. Vavilov
Lie groups and invariant theory
December 24, 2008
12. Calculations in exceptional groups
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
November 13, 2007
13. Соединить идеи с вычислениями. От Эйлера до компьютерной алгебры
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
May 16, 2007
14. The $(1+\epsilon)$-generation of finite simple groups and Hurwitz groups
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
October 5, 1999

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