Edit Profile (opens in new tab) Lysenok, Igor’ Geront’evich Compute Distance To: Compute Author ID: lysenok.igor-g Published as: Lysenok, I. G.; Lysënok, I. G.; Lysenok, Igor; Lysenok, Igor G.; Lysionok, I. G.; Lysënok, I. more...less External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 29 Publications since 1985 Co-Authors: 43 Co-Authors with 19 Joint Publications 2,059 Co-Co-Authors all top 5 Co-Authors 10 single-authored 4 Adyan, Sergeĭ Ivanovich 4 Beklemishev, Lev D. 4 Myasnikov, Alexei G. 4 Ushakov, Alexander S. 3 Bukhshtaber, Viktor Matveevich 3 Razborov, Aleksandr Aleksandrovich 3 Semënov, Alekseĭ L’vovich 2 Arzhantseva, Goulnara N. 2 Atabekyan, Varuzhan S. 2 Guba, Victor S. 2 Mal’tsev, Arkadiĭ Anatol’evich 2 Mennicke, Jens L. 2 Novikov, Sergeĭ Petrovich 1 Agrachev, Andreĭ Aleksandrovich 1 Anosov, Dmitriĭ Viktorovich 1 Aseev, Sergei M. 1 Bartholdi, Laurent 1 Ershov, Yuriĭ Leonidovich 1 Goncharov, Sergeĭ Savost’yanovich 1 Grigorchuk, Rostislav Ivanovich 1 Groth, Thorsten 1 Grunewald, Fritz J. 1 Kaimanovich, Vadim A. 1 Kashin, Boris Sergeevich 1 Kharlampovich, Olga G. 1 Kozlov, Valeriĭ Vasil’evich 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Osipov, Yuriĭ Sergeevich 1 1 Pentus, Mati 1 Podol’skiĭ, Vladimir Vladimirovich 1 Remeslennikov, Vladimir Nikanorovich 1 Sadovnichiĭ, Viktor Antonovich 1 Shchepin, Evgenij V. 1 Shevrin, Lev Naumovich 1 Sinaĭ, Yakov Grigor’evich 1 Smirnov, Stanislav Konstantinovich 1 Stëpin, Anatoliĭ Mikhaĭlovich 1 Taimanov, Iskander Asanovich 1 Talambutsa, Alexey L. 1 Touikan, Nicholas W. M. 1 Treshchev, Dmitriĭ Valer’evich 1 Vershik, Anatoliĭ Moiseevich 1 Vorobets, Ya. B. all top 5 Serials 6 Russian Mathematical Surveys 4 Mathematical Notes 3 Groups, Geometry, and Dynamics 2 Mathematics of the USSR. Izvestiya 2 Mathematische Zeitschrift 2 International Journal of Algebra and Computation 2 Izvestiya: Mathematics 1 Matematicheskie Zametki 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Theory of Computing Systems 1 Proceedings of the Steklov Institute of Mathematics all top 5 Fields 25 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 4 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 159 times in 133 Documents Cited by ▼ Year ▼ Infinite Burnside groups of even exponent. Zbl 0926.20023Lysenok, I. G. 37 1996 A system of defining relations for a Grigorchuk group. Zbl 0595.20030Lysenok, I. G. 20 1985 Growth tightness for word hyperbolic groups. Zbl 1045.20035Arzhantseva, G. N.; Lysenok, I. G. 16 2002 On groups all of whose proper subgroups are finite cyclic. Zbl 0771.20015Adyan, S. I.; Lysënok, I. G. 11 1991 On some algorithmic properties of hyperbolic groups. Zbl 0692.20022Lysënok, I. G. 11 1989 A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014Grigorchuk, R. I.; Lysionok, I. G. 9 1992 On some algorithmic properties of hyperbolic groups. Zbl 0697.20020Lysënok, I. G. 9 1990 The solvability problem for quadratic equations over free groups is NP-complete. Zbl 1205.68172Kharlampovich, O.; Lysënok, I. G.; Myasnikov, A. G.; Touikan, N. W. M. 8 2010 The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander 7 2010 Quadratic equations in the Grigorchuk group. Zbl 1341.20037Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander 6 2016 A lower bound on the growth of word hyperbolic groups. Zbl 1093.20024Arzhantseva, G. N.; Lysenok, I. G. 5 2006 The infinitude of Burnside groups of exponent \(2^ k\) for \(k\geq 13\). Zbl 0822.20043Lysenok, I. G. 4 1992 Spherical quadratic equations in free metabelian groups. Zbl 1339.20037Lysenok, Igor; Ushakov, Alexander 4 2016 A polynomial bound on solutions of quadratic equations in free groups. Zbl 1297.20046Lysenok, Igor G.; Myasnikov, Alexei G. 3 2011 Proof of a theorem of M. Hall concerning the finiteness of the groups B(m,6). Zbl 0626.20028Lysenok, I. G. 3 1987 Defining relations and the algebraic structure of the group \(\text{SL}_ 2\) over integral Hamilton quaternions. Zbl 0874.20015Adyan, S. I.; Lysënok, I. G.; Mennicke, J. L. 2 1997 Sergei Ivanovich Adian (on his 75th birthday). Zbl 1147.01312Beklemishev, L. D.; Lysenok, I. G.; Mal’tsev, A. A.; et al. 1 2006 The method of classification of periodic words and the Burnside problem. Zbl 0796.20030Adyan, S. I.; Lysënok, I. G. 1 1992 On embeddings of \(\text{SL}(2,\mathbb Z)\) into quaternion groups. Zbl 1165.20320Adyan, S. I.; Grunewald, F.; Lysënok, I.; Mennicke, J. 1 2001 Solutions of quadratic equations in groups with small cancellation condition. Zbl 0687.20035Lysenok, I. G. 1 1988 Quadratic equations in the Grigorchuk group. Zbl 1341.20037Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander 6 2016 Spherical quadratic equations in free metabelian groups. Zbl 1339.20037Lysenok, Igor; Ushakov, Alexander 4 2016 A polynomial bound on solutions of quadratic equations in free groups. Zbl 1297.20046Lysenok, Igor G.; Myasnikov, Alexei G. 3 2011 The solvability problem for quadratic equations over free groups is NP-complete. Zbl 1205.68172Kharlampovich, O.; Lysënok, I. G.; Myasnikov, A. G.; Touikan, N. W. M. 8 2010 The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander 7 2010 A lower bound on the growth of word hyperbolic groups. Zbl 1093.20024Arzhantseva, G. N.; Lysenok, I. G. 5 2006 Sergei Ivanovich Adian (on his 75th birthday). Zbl 1147.01312Beklemishev, L. D.; Lysenok, I. G.; Mal’tsev, A. A.; et al. 1 2006 Growth tightness for word hyperbolic groups. Zbl 1045.20035Arzhantseva, G. N.; Lysenok, I. G. 16 2002 On embeddings of \(\text{SL}(2,\mathbb Z)\) into quaternion groups. Zbl 1165.20320Adyan, S. I.; Grunewald, F.; Lysënok, I.; Mennicke, J. 1 2001 Defining relations and the algebraic structure of the group \(\text{SL}_ 2\) over integral Hamilton quaternions. Zbl 0874.20015Adyan, S. I.; Lysënok, I. G.; Mennicke, J. L. 2 1997 Infinite Burnside groups of even exponent. Zbl 0926.20023Lysenok, I. G. 37 1996 A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014Grigorchuk, R. I.; Lysionok, I. G. 9 1992 The infinitude of Burnside groups of exponent \(2^ k\) for \(k\geq 13\). Zbl 0822.20043Lysenok, I. G. 4 1992 The method of classification of periodic words and the Burnside problem. Zbl 0796.20030Adyan, S. I.; Lysënok, I. G. 1 1992 On groups all of whose proper subgroups are finite cyclic. Zbl 0771.20015Adyan, S. I.; Lysënok, I. G. 11 1991 On some algorithmic properties of hyperbolic groups. Zbl 0697.20020Lysënok, I. G. 9 1990 On some algorithmic properties of hyperbolic groups. Zbl 0692.20022Lysënok, I. G. 11 1989 Solutions of quadratic equations in groups with small cancellation condition. Zbl 0687.20035Lysenok, I. G. 1 1988 Proof of a theorem of M. Hall concerning the finiteness of the groups B(m,6). Zbl 0626.20028Lysenok, I. G. 3 1987 A system of defining relations for a Grigorchuk group. Zbl 0595.20030Lysenok, I. G. 20 1985 all cited Publications top 5 cited Publications all top 5 Cited by 171 Authors 10 Atabekyan, Varuzhan S. 9 Myasnikov, Alexei G. 6 Grigorchuk, Rostislav Ivanovich 6 Lysenok, Igor’ Geront’evich 6 Traustason, Gunnar 5 Adyan, Sergeĭ Ivanovich 5 Kharlampovich, Olga G. 5 Lytkina, Dar’ya Viktorovna 5 Mazurov, Viktor Danilovich 5 Ushakov, Alexander S. 4 Sambusetti, Andrea 3 Ceccherini-Silberstein, Tullio G. 3 Coulon, Rémi 3 Dahmani, François 3 Dobrynina, Irina Vasil’evna 3 Kanel’-Belov, Alekseĭ Yakovlevich 3 Mamontov, Andrey S. 3 Sapir, Mark Valentinovich 3 Yang, Wenyuan 2 Ciobanu, Laura 2 Diekert, Volker 2 Elder, Murray J. 2 Gruber, Dominik 2 Guba, Victor S. 2 Guelman, Nancy 2 Hadjievangelou, Anastasia 2 Ivanov-Pogodaev, Ilya 2 Jabara, Enrico 2 Lenz, Daniel H. 2 Liousse, Isabelle 2 Machi, Antonio 2 Minasyan, Ashot 2 Muchnik, Roman 2 Nagnibeda, Tatiana V. 2 Noce, Marialaura 2 Ol’shanskiĭ, Aleksandr Yur’evich 2 Pak, Igor 2 Rips, Eliyahu 2 Scarabotti, Fabio 2 Tracey, Gareth M. 2 Vdovina, Alina A. 2 Wise, Daniel T. 2 Woess, Wolfgang 1 Artamonov, Vyacheslav Aleksandrovich 1 Arzhantseva, Goulnara N. 1 Atkarskaya, Agatha 1 Bartholdi, Laurent 1 Beklemishev, Lev D. 1 Bezverkhniĭ, Vladimir Nikolaevich 1 Bogopolski, Oleg 1 Breuillard, Emmanuel 1 Brunner, Andrew Michael 1 Bumagin, Inna 1 Casals-Ruiz, Montserrat 1 Cashen, Christopher H. 1 Cerocchi, Filippo 1 Chakraborty, Sayan 1 Chinburg, Ted 1 Comerford, Leo P. jun. 1 Crisp, John D. C. 1 Cui, Yumiao 1 Dal’bo, Françoise 1 Dani, Pallavi 1 de Cornulier, Yves 1 de la Salle, Mikael 1 Dehornoy, Patrick 1 del Río, Angel 1 Delzant, Thomas 1 do Lago, Alair Pereira 1 Edmunds, Charles C. 1 Erschler, Anna 1 Friedlander, Holley 1 Funar, Louis 1 Futer, David 1 Garreta, Albert 1 Gekhtman, Ilya 1 Gevorgyan, Amirjan L. 1 Gevorgyan, Garnik Gurgenovich 1 Gevorkyan, Gegham G. 1 Godelle, Eddy 1 Gonçalves, Daciberg Lima 1 Gouëzel, Sébastien 1 Grigor’ev, Dmitriĭ Yur’evich 1 Grimmett, Geoffrey R. 1 Gröger, Maik 1 Gromov, Mikhael Leonidovich 1 Groves, Daniel P. 1 Gryak, Jonathan 1 Guirardel, Vincent 1 Gul, Funda 1 Gusev, Daniil Vladimirovich 1 Haralick, Robert M. 1 Hartung, René 1 Howe, Sean 1 Huss, Wilfried 1 Ivanov, Sergei Vladimirovich 1 Jaerisch, Johannes 1 Jiang, Yueping 1 Jones, Gareth A. 1 Kahrobaei, Delaram ...and 71 more Authors all top 5 Cited in 62 Serials 10 Journal of Algebra 9 International Journal of Algebra and Computation 7 Mathematical Notes 6 Proceedings of the Steklov Institute of Mathematics 5 Groups, Geometry, and Dynamics 4 Journal of Pure and Applied Algebra 4 Transactions of the American Mathematical Society 4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Communications in Algebra 3 Israel Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Siberian Mathematical Journal 3 Ergodic Theory and Dynamical Systems 3 Journal of Group Theory 3 Chebyshevskiĭ Sbornik 3 Groups, Complexity, Cryptology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Geometric and Functional Analysis. GAFA 2 Expositiones Mathematicae 2 Experimental Mathematics 2 Algebraic & Geometric Topology 2 Bulletin of Mathematical Sciences 1 Letters in Mathematical Physics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Publications Mathématiques 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Science in China. Series A 1 International Journal of Foundations of Computer Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Theory of Computing Systems 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 RAIRO. Theoretical Informatics and Applications 1 Trudy Instituta Matematiki 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Journal of Modern Dynamics 1 Journal of Topology 1 RAIRO. Theoretical Informatics and Applications 1 Proceedings of the Yerevan State University. Physical and Mathematical Sciences 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Siberian Federal University. Mathematics & Physics 1 Mathematics Research Reports all top 5 Cited in 28 Fields 116 Group theory and generalizations (20-XX) 19 Computer science (68-XX) 16 Manifolds and cell complexes (57-XX) 15 Combinatorics (05-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Differential geometry (53-XX) 5 Mathematical logic and foundations (03-XX) 5 Topological groups, Lie groups (22-XX) 5 Abstract harmonic analysis (43-XX) 4 Associative rings and algebras (16-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 General algebraic systems (08-XX) 2 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.