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Lysenok, Igor’ Geront’evich

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Author ID: lysenok.igor-g Recent zbMATH articles by "Lysenok, Igor' Geront'evich"
Published as: Lysenok, I. G.; Lysenok, Igor; Lysenok, Igor G.; Lysënok, I.; Lysënok, I. G.
External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate
Documents Indexed: 24 Publications since 1985

Publications by Year

Citations contained in zbMATH

18 Publications have been cited 117 times in 107 Documents Cited by Year
Infinite Burnside groups of even exponent. Zbl 0926.20023
Lysenok, I. G.
28
1996
A system of defining relations for a Grigorchuk group. Zbl 0595.20030
Lysenok, I. G.
17
1985
Growth tightness for word hyperbolic groups. Zbl 1045.20035
Arzhantseva, G. N.; Lysenok, I. G.
16
2002
On some algorithmic properties of hyperbolic groups. Zbl 0692.20022
Lysënok, I. G.
10
1989
On groups all of whose proper subgroups are finite cyclic. Zbl 0771.20015
Adyan, S. I.; Lysënok, I. G.
8
1991
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.
7
2010
On some algorithmic properties of hyperbolic groups. Zbl 0697.20020
Lysënok, I. G.
7
1990
The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026
Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander
6
2010
The infinitude of Burnside groups of exponent \(2^ k\) for \(k\geq 13\). Zbl 0822.20043
Lysenok, I. G.
4
1992
A polynomial bound on solutions of quadratic equations in free groups. Zbl 1297.20046
Lysenok, Igor G.; Myasnikov, Alexei G.
3
2011
Quadratic equations in the Grigorchuk group. Zbl 1341.20037
Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander
2
2016
Spherical quadratic equations in free metabelian groups. Zbl 1339.20037
Lysenok, Igor; Ushakov, Alexander
2
2016
Proof of a theorem of M. Hall concerning the finiteness of the groups B(m,6). Zbl 0626.20028
Lysenok, I. G.
2
1987
A lower bound on the growth of word hyperbolic groups. Zbl 1093.20024
Arzhantseva, G. N.; Lysenok, I. G.
1
2006
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.
1
1997
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
Quadratic equations in the Grigorchuk group. Zbl 1341.20037
Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander
2
2016
Spherical quadratic equations in free metabelian groups. Zbl 1339.20037
Lysenok, Igor; Ushakov, Alexander
2
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.
7
2010
The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026
Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander
6
2010
A lower bound on the growth of word hyperbolic groups. Zbl 1093.20024
Arzhantseva, G. N.; Lysenok, I. G.
1
2006
Growth tightness for word hyperbolic groups. Zbl 1045.20035
Arzhantseva, G. N.; Lysenok, I. G.
16
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.
1
1997
Infinite Burnside groups of even exponent. Zbl 0926.20023
Lysenok, I. G.
28
1996
The infinitude of Burnside groups of exponent \(2^ k\) for \(k\geq 13\). Zbl 0822.20043
Lysenok, I. G.
4
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.
8
1991
On some algorithmic properties of hyperbolic groups. Zbl 0697.20020
Lysënok, I. G.
7
1990
On some algorithmic properties of hyperbolic groups. Zbl 0692.20022
Lysënok, I. G.
10
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.
2
1987
A system of defining relations for a Grigorchuk group. Zbl 0595.20030
Lysenok, I. G.
17
1985
all top 5

Cited by 146 Authors

7 Atabekyan, Varuzhan S.
7 Myasnikov, Alexei G.
6 Grigorchuk, Rostislav Ivanovich
5 Adyan, Sergeĭ Ivanovich
4 Lytkina, Dar’ya Viktorovna
4 Mazurov, Viktor Danilovich
4 Traustason, Gunnar
4 Ushakov, Alexander S.
3 Ceccherini-Silberstein, Tullio G.
3 Dahmani, François
3 Dobrynina, Irina Vasil’evna
3 Kharlampovich, Olga G.
3 Lysenok, Igor’ Geront’evich
3 Mamontov, Andrey S.
3 Sambusetti, Andrea
2 Diekert, Volker
2 Guelman, Nancy
2 Jabara, Enrico
2 Lenz, Daniel H.
2 Liousse, Isabelle
2 Machi, Antonio
2 Minasyan, Ashot
2 Muchnik, Roman
2 Nagnibeda, Tatiana
2 Ol’shanskiĭ, Aleksandr Yur’evich
2 Pak, Igor
2 Sapir, Mark Valentinovich
2 Scarabotti, Fabio
2 Tao, Jing
2 Tracey, Gareth M.
2 Wise, Daniel T.
2 Woess, Wolfgang
2 Yang, Wenyuan
1 Artamonov, Vyacheslav Aleksandrovich
1 Bartholdi, Laurent
1 Bezverkhniĭ, Vladimir Nikolaevich
1 Bogopolski, Oleg
1 Brunner, Andrew Michael
1 Bumagin, Inna
1 Casals-Ruiz, Montserrat
1 Cashen, Christopher H.
1 Chakraborty, Sayan
1 Chinburg, Ted
1 Comerford, Leo P. jun.
1 Coulon, Rémi
1 Coulon, Rémi B.
1 Dal’bo, Françoise
1 Dani, Pallavi
1 de Cornulier, Yves
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 Gekhtman, Ilya
1 Gevorgyan, Amirjan L.
1 Gevorgyan, Garnik Gurgenovich
1 Golan, Gili
1 Gonçalves, Daciberg Lima
1 Gouëzel, Sébastien
1 Grigor’ev, Dmitriĭ Yur’evich
1 Gröger, Maik
1 Gromov, Mikhael Leonidovich
1 Groves, Daniel P.
1 Gruber, Dominik
1 Gryak, Jonathan
1 Guba, Victor S.
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-Pogodaev, Ilya
1 Ivanov, Sergei Vladimirovich
1 Jaerisch, Johannes
1 Jones, Gareth A.
1 Kahrobaei, Delaram
1 Kanel’-Belov, Alekseĭ Yakovlevich
1 Kazachkov, Ilya V.
1 Kesseböhmer, Marc
1 Kosters, Michiel
1 Le Boudec, Adrien
1 Mathéus, Frédéric
1 Matsuzaki, Katsuhiko
1 Maucourant, François
1 Moghaddam, Atefeh Mohajeri
1 Mohajeri, Atefeh
1 Mosbach, Arne
1 Mramor, Blaz
1 Nasybullov, Timur R.
1 Nekrashevych, Volodymyr V.
1 Nikolaev, Andrey R.
1 Nikolaev, Andrey V.
1 Noce, Marialaura
1 Osin, Denis V.
...and 46 more Authors
all top 5

Cited in 49 Serials

10 Journal of Algebra
7 Mathematical Notes
6 Proceedings of the Steklov Institute of Mathematics
5 International Journal of Algebra and Computation
4 Transactions of the American Mathematical Society
4 Groups, Geometry, and Dynamics
3 Journal of Pure and Applied Algebra
3 Proceedings of the American Mathematical Society
3 Siberian Mathematical Journal
3 Ergodic Theory and Dynamical Systems
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Chebyshevskiĭ Sbornik
3 Groups, Complexity, Cryptology
2 Communications in Algebra
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 Journal of Group Theory
2 Algebraic & Geometric Topology
1 Israel Journal of Mathematics
1 Letters in Mathematical Physics
1 Mathematics of Computation
1 Advances in Mathematics
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 Sbornik: Mathematics
1 Doklady Mathematics
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 Modern Dynamics
1 Journal of Topology
1 RAIRO. Theoretical Informatics and Applications
1 Bulletin of Mathematical Sciences

Citations by Year

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