Lysenok Igor Geront'evich

Total publications: 23
Scientific articles: 20
in MathSciNet: 22
in zbMATH: 19
in Web of Science: 21
in Scopus: 14
Cited articles: 19
Citations in Math-Net.Ru: 102
Citations in MathSciNet (by Sep 2017): 143
Citations in Web of Science: 69
Citations in Scopus: 58
Presentations: 14

Number of views:
This page:2422
Abstract pages:4502
Full texts:1038
Doctor of physico-mathematical sciences
Birth date: 16.08.1963
E-mail: ,
List of publications on Google Scholar

Full list of scientific publications:
| by years | by types | by times cited | scientific publications | common list |


1. Igor Lysenok, Alexander Ushakov, “Spherical quadratic equations in free metabelian groups”, Proc. Amer. Math. Soc., 144:4 (2016), 1383–1390 , arXiv: 1304.4898  mathnet  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
2. Igor Lysenok, Alexei Miasnikov, Alexander Ushakov, “Quadratic equations in the Grigorchuk group”, Groups Geom. Dyn., 10:1 (2016), 201–239 , arXiv: 1304.5579  mathnet  crossref  mathscinet (cited: 2)  zmath  isi  elib  scopus
3. Igor G. Lysenok, Alexei G. Myasnikov, “A polynomial bound on solutions of quadratic equations in free groups”, Proc. Steklov Inst. Math., 274 (2011), 136–173  mathnet  crossref  mathscinet  isi (cited: 2)  elib  scopus (cited: 2)
4. I. Lysenok, A. Myasnikov, A. Ushakov, “The conjugacy problem in the Grigorchuk group is polynomial time decidable”, Groups Geom. Dyn., 4:4 (2010), 813–833 , arXiv: 0808.2502  crossref  mathscinet (cited: 4)  zmath  adsnasa  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
5. O. Kharlampovich, I. G. Lysënok, A. G. Myasnikov, N. W. M. Touikan, “The solvability problem for quadratic equations over free groups is NP-complete”, Theory Comput. Syst., 47:1 (2010), 250–258  crossref  mathscinet (cited: 5)  zmath  isi (cited: 5)  elib (cited: 5)  scopus (cited: 6)
6. I. G. Lysenok, “Burnside structures of finite subgroups”, Izv. Math., 71:5 (2007), 939–965  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
7. G. N. Arzhantseva, I. G. Lysenok, “A lower bound on the growth of word hyperbolic groups”, J. London Math. Soc. (2), 73:1 (2006), 109–125  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 2)
8. G. N. Arzhantseva, I. G. Lysenok, “Growth tightness for word hyperbolic groups”, Math. Z., 241:3 (2002), 597–611  crossref  mathscinet (cited: 13)  zmath  isi (cited: 13)  elib (cited: 11)  scopus (cited: 12)
9. S. Adian, F. Grunewald, I. Lysionok, J. Mennicke, “On embeddings of $\mathrm{SL}(2,\mathbb Z)$ into quaternion groups”, Math. Z., 238:2 (2001), 389–399  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
10. S. I. Adian, I. G. Lysionok, J. G. Mennicke, “Defining relations and the algebraic structure of the group $\mathrm{SL}_2$ over integral Hamilton quaternions”, Internat. J. Algebra Comput., 7:1 (1997), 1–24  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
11. I. G. Lysenok, “Infinite Burnside groups of even exponent”, Izv. Math., 60:3 (1996), 453–654  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 14)  scopus (cited: 13)
12. R. I. Grigorchuk, I. G. Lysionok, “A description of solutions of quadratic equations in hyperbolic groups”, Internat. J. Algebra Comput., 2:3 (1992), 237–274  crossref  mathscinet (cited: 7)  zmath
13. S. I. Adian, I. G. Lysionok, “The method of classification of periodic words and the Burnside problem”, Proceedings of the International Conference on Algebra, Part 1 (Novosibirsk, 1989), Contemp. Math., 131, Amer. Math. Soc., Providence, RI, 1992, 13–28  crossref  mathscinet (cited: 4)  isi (cited: 5)
14. I. G. Lysenok, “The infinitude of Burnside groups of period $2k$ for $k\ge 13$”, Russian Math. Surveys, 47:2 (1992), 229–230  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)
15. S. I. Adyan, I. G. Lysënok, “O gruppakh, vse sobstvennye podgruppy kotorykh konechnye tsiklicheskie”, Izv. AN SSSR. Ser. matem., 55:5 (1991), 933–990  mathnet (cited: 21)  mathscinet (cited: 17)  zmath  adsnasa; S. I. Adian, I. G. Lysenok, “On groups all of whose proper subgroups of which are finite cyclic”, Math. USSR-Izv., 39:2 (1992), 905–957  crossref  mathscinet  zmath  isi (cited: 7)
16. I. G. Lysënok, “O nekotorykh algoritmicheskikh svoistvakh giperbolicheskikh grupp”, Izv. AN SSSR. Ser. matem., 53:4 (1989), 814–832  mathnet (cited: 9)  mathscinet (cited: 19)  zmath  isi; I. G. Lysenok, “On some algorithmic properties of hyperbolic groups”, Math. USSR-Izv., 35:1 (1990), 145–163  crossref  mathscinet  zmath  isi
17. I. G. Lysenok, “Solutions of quadratic equations in groups with small cancellation”, Math. Notes, 43:5 (1988), 333–341  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
18. I. G. Lysenok, “Proof of a theorem of M. Hall concerning the finiteness of the groups $B(m,6)$”, Math. Notes, 41:3 (1987), 241–244  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 4)
19. I. G. Lysenok, “A system of defining relations for a Grigorchuk group”, Math. Notes, 38:4 (1985), 784–792  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 10)


20. O. Kharlampovich, I. G. Lysenok, A. G. Myasnikov, N. W. M. Touikan, Quadratic equations over free groups are NP-complete, 2008 , arXiv: 0802.3839  adsnasa


21. A. A. Agrachëv, D. V. Anosov, S. M. Aseev, V. M. Buchstaber, A. M. Vershik, Ya. B. Vorobets, V. A. Kaimanovich, B. S. Kashin, I. G. Lysënok, A. Yu. Ol'shanskii, V. N. Remeslennikov, Ya. G. Sinai, S. K. Smirnov, A. M. Stepin, I. A. Taimanov, E. V. Shchepin, “Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)”, Russian Math. Surveys, 68:5 (2013), 967–971  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
22. L. D. Beklemishev, V. M. Buchstaber, I. G. Lysenok, A. A. Mal'tsev, S. P. Novikov, A. A. Razborov, A. L. Semenov, “Sergei Ivanovich Adian (on his eightieth birthday)”, Russian Math. Surveys, 66:1 (2011), 197–198  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
23. L. D. Beklemishev, I. G. Lysenok, A. A. Mal'tsev, S. P. Novikov, M. R. Pentus, A. A. Razborov, A. L. Semenov, V. A. Uspenskii, “Sergei Ivanovich Adian (on his 75th birthday)”, Russian Math. Surveys, 61:3 (2006), 575–588  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

Presentations in Math-Net.Ru
1. Квадратичные уравнения в свободных метабелевых группах
I. G. Lysenok
Mathematical Logic, Algebra and Computation: A two-day conference dedicated to 85-th anniversary of S. I. Adian
July 19, 2016 15:00   
2. $\mathit{NP}$-completeness of a class of quadratic equations in free metabelian groups
I. G. Lysenok
Seminar of the Department of Mathematical Logic "Algorithmic problems in algebra and logic"
October 15, 2013 18:30
3. Геометрическая теория групп. Лекция 11
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
December 20, 2012 18:40   
4. Геометрическая теория групп. Лекция 10
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
December 13, 2012 18:00   
5. Геометрическая теория групп. Лекция 9
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
December 6, 2012 18:00   
6. Геометрическая теория групп. Лекция 8
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
November 22, 2012 18:00   
7. Геометрическая теория групп. Лекция 7
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
November 15, 2012 18:00   
8. Геометрическая теория групп. Лекция 6
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
November 8, 2012 18:00   
9. Геометрическая теория групп. Лекция 5
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
November 1, 2012 18:00   
10. Геометрическая теория групп. Лекция 4
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
October 25, 2012 18:00   
11. Геометрическая теория групп. Лекция 3
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
October 18, 2012 18:00   
12. Геометрическая теория групп. Лекция 2
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
October 11, 2012 18:00   
13. Геометрическая теория групп. Лекция 1
I. G. Lysenok
Special seminar "Geometric Theory of Groups", 2012
October 4, 2012 18:00   
14. Quadratic equations in a free monoid
I. G. Lysenok
Traditional Christmas session MIAN-POMI, 2009 "Logic and Theoretical Computer Science"
December 18, 2009 10:30   

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