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Lysenok Igor Geront'evich
(full list of publications)
| by years | scientific publications | by types |


1. I. G. Lysenok, “An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature”, Math. Notes, 103:4 (2018), 610–615  mathnet  crossref  crossref  isi  elib  scopus

2. 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: 2)
3. 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

4. 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)

5. 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)
6. 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)

7. 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)

8. 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)

9. 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: 14)

10. 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)

11. 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)

12. 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)

13. 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
14. 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: 6)
15. 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)
16. 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  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)

17. I. G. Lysenok, “On some algorithmic properties of hyperbolic groups”, Math. USSR-Izv., 35:1 (1990), 145–163  mathnet  crossref  mathscinet  zmath  isi

18. 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)

19. 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)

20. 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)


21. 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


22. 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

23. 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

24. 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
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