Edit Profile (opens in new tab) Lysenok, Igor’ Geront’evich Co-Author Distance 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: 30 Publications since 1985, including 1 Additional arXiv Preprint Co-Authors: 42 Co-Authors with 19 Joint Publications 2,271 Co-Co-Authors all top 5 Co-Authors 11 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 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 Pentus, Mati 1 Podol’skiĭ, Vladimir Vladimirovich 1 Remeslennikov, Vladimir Nikanorovich 1 Sadovnichiĭ, Viktor Antonovich 1 Shchepin, Evgeniĭ Vital’evich 1 Shevrin, Lev Naumovich 1 Sinaĭ, Yakov Grigor’evich 1 Smirnov, Stanislav Konstantinovich 1 Stëpin, Anatoliĭ Mikhaĭlovich 1 Taĭmanov, Iskander Asanovich 1 Talambutsa, Alexey L. 1 Touikan, Nicholas W. M. 1 Treshchev, Dmitriĭ Valer’evich 1 Vershik, Anatoliĭ Moiseevich 1 Vorobets, Yaroslav 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 23 Publications have been cited 210 times in 169 Documents Cited by ▼ Year ▼ Infinite Burnside groups of even exponent. Zbl 0926.20023 Lysenok, I. G. 50 1996 A system of defining relations for a Grigorchuk group. Zbl 0595.20030 Lysenok, I. G. 28 1985 Growth tightness for word hyperbolic groups. Zbl 1045.20035 Arzhantseva, G. N.; Lysenok, I. G. 20 2002 On groups all of whose proper subgroups are finite cyclic. Zbl 0771.20015 Adyan, S. I.; Lysënok, I. G. 15 1991 On some algorithmic properties of hyperbolic groups. Zbl 0697.20020 Lysënok, I. G. 12 1990 A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014 Grigorchuk, R. I.; Lysionok, I. G. 11 1992 On some algorithmic properties of hyperbolic groups. Zbl 0692.20022 Lysënok, I. G. 11 1989 The solvability problem for quadratic equations over free groups is NP-complete. Zbl 1205.68172 Kharlampovich, O.; Lysënok, I. G.; Myasnikov, A. G.; Touikan, N. W. M. 10 2010 Quadratic equations in the Grigorchuk group. Zbl 1341.20037 Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander 9 2016 A lower bound on the growth of word hyperbolic groups. Zbl 1093.20024 Arzhantseva, G. N.; Lysenok, I. G. 8 2006 The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026 Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander 7 2010 The infinitude of Burnside groups of exponent \(2^ k\) for \(k\geq 13\). Zbl 0822.20043 Lysenok, I. G. 6 1992 Spherical quadratic equations in free metabelian groups. Zbl 1339.20037 Lysenok, Igor; Ushakov, Alexander 6 2016 Proof of a theorem of M. Hall concerning the finiteness of the groups B(m,6). Zbl 0626.20028 Lysenok, I. G. 3 1987 A polynomial bound on solutions of quadratic equations in free groups. Zbl 1297.20046 Lysenok, Igor G.; Myasnikov, Alexei G. 3 2011 Defining relations and the algebraic structure of the group \(\text{SL}_ 2\) over integral Hamilton quaternions. Zbl 0874.20015 Adyan, S. I.; Lysënok, I. G.; Mennicke, J. L. 2 1997 An approach to the study of finitely presented groups based on the notion of discrete curvature. Zbl 1392.20027 Lysenok, Igor G. 2 2018 Orientable quadratic equations in free metabelian groups. Zbl 1542.20139 Lysenok, Igor; Ushakov, Alexander 2 2021 The method of classification of periodic words and the Burnside problem. Zbl 0796.20030 Adyan, S. I.; Lysënok, I. G. 1 1992 Solutions of quadratic equations in groups with small cancellation condition. Zbl 0687.20035 Lysenok, I. G. 1 1988 Sergei Ivanovich Adian (on his 75th birthday). Zbl 1147.01312 Beklemishev, L. D.; Lysenok, I. G.; Mal’tsev, A. A.; et al. 1 2006 Commutator width in the first Grigorchuk group. Zbl 1512.20080 Bartholdi, Laurent; Groth, Thorsten; Lysenok, Igor 1 2022 On embeddings of \(\text{SL}(2,\mathbb Z)\) into quaternion groups. Zbl 1165.20320 Adyan, S. I.; Grunewald, F.; Lysënok, I.; Mennicke, J. 1 2001 Commutator width in the first Grigorchuk group. Zbl 1512.20080 Bartholdi, Laurent; Groth, Thorsten; Lysenok, Igor 1 2022 Orientable quadratic equations in free metabelian groups. Zbl 1542.20139 Lysenok, Igor; Ushakov, Alexander 2 2021 An approach to the study of finitely presented groups based on the notion of discrete curvature. Zbl 1392.20027 Lysenok, Igor G. 2 2018 Quadratic equations in the Grigorchuk group. Zbl 1341.20037 Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander 9 2016 Spherical quadratic equations in free metabelian groups. Zbl 1339.20037 Lysenok, Igor; Ushakov, Alexander 6 2016 A polynomial bound on solutions of quadratic equations in free groups. Zbl 1297.20046 Lysenok, Igor G.; Myasnikov, Alexei G. 3 2011 The solvability problem for quadratic equations over free groups is NP-complete. Zbl 1205.68172 Kharlampovich, O.; Lysënok, I. G.; Myasnikov, A. G.; Touikan, N. W. M. 10 2010 The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026 Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander 7 2010 A lower bound on the growth of word hyperbolic groups. Zbl 1093.20024 Arzhantseva, G. N.; Lysenok, I. G. 8 2006 Sergei Ivanovich Adian (on his 75th birthday). Zbl 1147.01312 Beklemishev, L. D.; Lysenok, I. G.; Mal’tsev, A. A.; et al. 1 2006 Growth tightness for word hyperbolic groups. Zbl 1045.20035 Arzhantseva, G. N.; Lysenok, I. G. 20 2002 On embeddings of \(\text{SL}(2,\mathbb Z)\) into quaternion groups. Zbl 1165.20320 Adyan, 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 0874.20015 Adyan, S. I.; Lysënok, I. G.; Mennicke, J. L. 2 1997 Infinite Burnside groups of even exponent. Zbl 0926.20023 Lysenok, I. G. 50 1996 A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014 Grigorchuk, R. I.; Lysionok, I. G. 11 1992 The infinitude of Burnside groups of exponent \(2^ k\) for \(k\geq 13\). Zbl 0822.20043 Lysenok, I. G. 6 1992 The method of classification of periodic words and the Burnside problem. Zbl 0796.20030 Adyan, S. I.; Lysënok, I. G. 1 1992 On groups all of whose proper subgroups are finite cyclic. Zbl 0771.20015 Adyan, S. I.; Lysënok, I. G. 15 1991 On some algorithmic properties of hyperbolic groups. Zbl 0697.20020 Lysënok, I. G. 12 1990 On some algorithmic properties of hyperbolic groups. Zbl 0692.20022 Lysënok, I. G. 11 1989 Solutions of quadratic equations in groups with small cancellation condition. Zbl 0687.20035 Lysenok, I. G. 1 1988 Proof of a theorem of M. Hall concerning the finiteness of the groups B(m,6). Zbl 0626.20028 Lysenok, I. G. 3 1987 A system of defining relations for a Grigorchuk group. Zbl 0595.20030 Lysenok, I. G. 28 1985 all cited Publications top 5 cited Publications all top 5 Cited by 224 Authors 10 Atabekyan, Varuzhan S. 8 Grigorchuk, Rostislav Ivanovich 8 Myasnikov, Alexei G. 8 Traustason, Gunnar 7 Lysenok, Igor’ Geront’evich 5 Adyan, Sergeĭ Ivanovich 5 Kanel’-Belov, Alekseĭ Yakovlevich 5 Kharlampovich, Olga G. 5 Lytkina, Dar’ya Viktorovna 5 Mazurov, Viktor Danilovich 5 Sambusetti, Andrea 5 Ushakov, Alexander S. 4 Coulon, Rémi 4 Hadjievangelou, Anastasia 4 Mamontov, Andrey S. 4 Rips, Eliyahu 4 Yang, Wenyuan 3 Atkarskaya, Agatha 3 Ceccherini-Silberstein, Tullio G. 3 Dahmani, François 3 Ivanov-Pogodaev, Ilya 3 Noce, Marialaura 3 Plotkin, Eugene 3 Sapir, Mark Valentinovich 2 Bartholdi, Laurent 2 Casals-Ruiz, Montserrat 2 Ciobanu, Laura 2 Delzant, Thomas 2 Diekert, Volker 2 Dobrynina, Irina Vasil’evna 2 Elder, Murray J. 2 Fujiwara, Koji 2 Gekhtman, Ilya 2 Gruber, Dominik 2 Guba, Victor S. 2 Guelman, Nancy 2 Jabara, Enrico 2 Kazachkov, Ilya V. 2 Kesseböhmer, Marc 2 Lenz, Daniel H. 2 Liousse, Isabelle 2 Longobardi, Patrizia 2 Machi, Antonio 2 Maj, Mercede 2 Minasyan, Ashot 2 Mosbach, Arne 2 Muchnik, Roman 2 Ol’shanskiĭ, Aleksandr Yur’evich 2 Pak, Igor 2 Samuel, Tony 2 Scarabotti, Fabio 2 Sela, Zlil 2 Smirnova-Nagnibeda, Tatiana 2 Steenbock, Markus 2 Steffens, Malte 2 Tao, Jing 2 Taylor, Samuel Joseph 2 Tiozzo, Giulio 2 Tracey, Gareth M. 2 Vdovina, Alina A. 2 Wise, Daniel T. 2 Woess, Wolfgang 1 Abbott, Carolyn R. 1 Allouche, Jean-Paul Simon 1 Amiri, Mohsen 1 Artamonov, Vyacheslav Aleksandrovich 1 Arzhantseva, Goulnara N. 1 Aslanyan, Haika T. 1 Aslanyan, S. T. 1 Bataille, Marc 1 Behrstock, Jason A. 1 Beklemishev, Lev D. 1 Belk, James M. 1 Benli, Mustafa Gökhan 1 Bezverkhniĭ, Vladimir Nikolaevich 1 Bodart, Corentin 1 Bogopolski, Oleg 1 Breuillard, Emmanuel 1 Brunner, Andrew Michael 1 Bumagin, Inna 1 Cantrell, Stephen 1 Cashen, Christopher H. 1 Cavallucci, Nicola 1 Cerocchi, Filippo 1 Chakraborty, Sayan 1 Chalk, Christopher P. 1 Chinburg, Ted 1 Comerford, Leo P. jun. 1 Crisp, John Studley 1 Cui, Yumiao 1 Dal’bo, Françoise 1 Damron, Michael 1 Dani, Pallavi 1 de Cornulier, Yves 1 de la Harpe, Pierre 1 de la Salle, Mikael 1 Dehornoy, Patrick 1 Dekking, Frederik Michel 1 del Río, Angel 1 Di Domenico, Elena ...and 124 more Authors all top 5 Cited in 78 Serials 11 International Journal of Algebra and Computation 10 Journal of Algebra 8 Groups, Geometry, and Dynamics 7 Mathematical Notes 7 Proceedings of the Steklov Institute of Mathematics 5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 4 Communications in Algebra 4 Journal of Pure and Applied Algebra 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Journal of Group Theory 4 Bulletin of Mathematical Sciences 3 Israel Journal of Mathematics 3 Geometriae Dedicata 3 Inventiones Mathematicae 3 Siberian Mathematical Journal 3 Ergodic Theory and Dynamical Systems 3 Chebyshevskiĭ Sbornik 3 Journal of Modern Dynamics 3 Groups, Complexity, Cryptology 2 Mathematical Proceedings of the Cambridge Philosophical Society 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 Doklady Mathematics 2 Algebraic & Geometric Topology 2 Journal of Algebra and its Applications 2 Journal of Topology 2 Proceedings of the Yerevan State University. Physical and Mathematical Sciences 1 Letters in Mathematical Physics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Advances in Mathematics 1 Algebra and Logic 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 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 Note di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Science in China. Series A 1 The Annals of Applied Probability 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 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 Mediterranean Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 RAIRO. Theoretical Informatics and Applications 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Siberian Federal University. Mathematics & Physics 1 Peking Mathematical Journal 1 Mathematics Research Reports 1 Journal of Groups, Complexity, Cryptology 1 Journal of the Iranian Mathematical Society 1 Combinatorial Theory all top 5 Cited in 27 Fields 149 Group theory and generalizations (20-XX) 26 Computer science (68-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Manifolds and cell complexes (57-XX) 16 Combinatorics (05-XX) 13 Differential geometry (53-XX) 7 Associative rings and algebras (16-XX) 7 Topological groups, Lie groups (22-XX) 6 Mathematical logic and foundations (03-XX) 6 Abstract harmonic analysis (43-XX) 5 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 4 Functional analysis (46-XX) 3 Functions of a complex variable (30-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-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.