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## Bogopolski, Oleg

Compute Distance To:
 Author ID: bogopolski.oleg Published as: Bogopolski, O.; Bogopolski, Oleg
 Documents Indexed: 25 Publications since 2000, including 3 Books
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#### Co-Authors

 4 single-authored 7 Ventura Capell, Enric 3 Martino, Armando 2 Maslakova, Olga 2 Zastrow, Andreas 1 Baumslag, Gilbert 1 Bumagin, Inna 1 Bux, Kai-Uwe 1 Fine, Benjamin L. 1 Gaglione, Anthony M. 1 Khalampovich, Olga 1 Kharlampovich, Olga G. 1 Kudryavtseva, Elena A. 1 Myasnikov, Alexei G. 1 Rosenberger, Gerhard 1 Singhof, Wilhelm 1 Spellman, Dennis 1 Sviridov, Konstantin 1 Weidmann, Richard 1 Zieschang, Heiner
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#### Serials

 5 International Journal of Algebra and Computation 3 Journal of Group Theory 2 Topology and its Applications 1 Communications in Algebra 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Algebra Colloquium 1 Groups, Geometry, and Dynamics 1 Trends in Mathematics 1 EMS Textbooks in Mathematics
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#### Fields

 20 Group theory and generalizations (20-XX) 6 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 1 General topology (54-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

20 Publications have been cited 130 times in 113 Documents Cited by Year
Introduction to group theory. Translated from the Russian. With a new chapter. Zbl 1215.20001
Bogopolski, Oleg
2008
The conjugacy problem is solvable in free-by-cyclic groups. Zbl 1116.20027
Bogopolski, O.; Martino, A.; Maslakova, O.; Ventura, E.
2006
Orbit decidability and the conjugacy problem for some extensions of groups. Zbl 1234.20043
Bogopolski, O.; Martino, A.; Ventura, E.
2010
The word problem for some uncountable groups given by countable words. Zbl 1250.57002
Bogopolski, Oleg; Zastrow, Andreas
2012
On endomorphisms of torsion-free hyperbolic groups. Zbl 1268.20045
Bogopolski, O.; Ventura, E.
2011
A surface groups analogue of a theorem of Magnus. Zbl 1143.20306
Bogopolski, Oleg
2005
Simple curves on surfaces and an analog of a theorem of Magnus for surface groups. Zbl 1084.20027
Bogopolski, Oleg; Kudryavtseva, Elena; Zieschang, Heiner
2004
On abstract commensurators of groups. Zbl 1262.20046
Bartholdi, L.; Bogopolski, O.
2010
The mean Dehn functions of Abelian groups. Zbl 1193.20050
Bogopolski, O.; Ventura, E.
2008
A Magnus theorem for some one-relator groups. Zbl 1151.20025
Bogopolski, Oleg; Sviridov, Konstantin
2008
Classification of automorphisms of the free group of rank 2 by ranks of fixed-point subgroups. Zbl 0960.20017
Bogopolski, O.
2000
An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group. Zbl 1348.20030
Bogopolski, Oleg; Maslakova, Olga
2016
Subgroups of small index in $$\operatorname{Aut}(F_n)$$ and Kazhdan’s property $$(T)$$. Zbl 1206.20043
Bogopolski, O.; Vikentiev, R.
2010
The automorphism group of a free-by-cyclic group in rank 2. Zbl 1122.20018
Bogopolski, O.; Martino, A.; Ventura, E.
2007
Abstract commensurators of solvable Baumslag-Solitar groups. Zbl 1263.20038
Bogopolski, O.
2012
A recursive presentation for Mihailova’s subgroup. Zbl 1202.20039
Bogopolski, Oleg; Ventura, Enric
2010
An uncountable homology group, where each element is an infinite product of commutators. Zbl 1329.57001
Bogopolski, Oleg; Zastrow, Andreas
2016
Generalized presentations of infinite groups, in particular of $$\operatorname{Aut}(F_\omega)$$. Zbl 1272.20035
Bogopolski, Oleg; Singhof, Wilhelm
2012
Combinatorial and geometric group theory. Dortmund and Ottawa-Montreal conferences. Selected papers of the conferences on “Combinatorial and geometric group theory with applications” (GAGTA), Dortmund, Germany, August 27–31, 2007, “Fields workshop in asymptotic group theory and cryptography”, Ottawa, Canada, December 14–16, 2007, and the workshop on “Action on trees, non-Archimedian words, and asymptotic cones”, Montreal, Canada, December 17–21, 2007. Zbl 1190.20001
Bogopolski, Oleg (ed.); Bumagin, Inna (ed.); Kharlampovich, Olga (ed.); Ventura, Enric (ed.)
2010
On the uniqueness of factors of amalgamated products. Zbl 1004.20013
Bogopolski, Oleg; Weidmann, Richard
2002
An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group. Zbl 1348.20030
Bogopolski, Oleg; Maslakova, Olga
2016
An uncountable homology group, where each element is an infinite product of commutators. Zbl 1329.57001
Bogopolski, Oleg; Zastrow, Andreas
2016
The word problem for some uncountable groups given by countable words. Zbl 1250.57002
Bogopolski, Oleg; Zastrow, Andreas
2012
Abstract commensurators of solvable Baumslag-Solitar groups. Zbl 1263.20038
Bogopolski, O.
2012
Generalized presentations of infinite groups, in particular of $$\operatorname{Aut}(F_\omega)$$. Zbl 1272.20035
Bogopolski, Oleg; Singhof, Wilhelm
2012
On endomorphisms of torsion-free hyperbolic groups. Zbl 1268.20045
Bogopolski, O.; Ventura, E.
2011
Orbit decidability and the conjugacy problem for some extensions of groups. Zbl 1234.20043
Bogopolski, O.; Martino, A.; Ventura, E.
2010
On abstract commensurators of groups. Zbl 1262.20046
Bartholdi, L.; Bogopolski, O.
2010
Subgroups of small index in $$\operatorname{Aut}(F_n)$$ and Kazhdan’s property $$(T)$$. Zbl 1206.20043
Bogopolski, O.; Vikentiev, R.
2010
A recursive presentation for Mihailova’s subgroup. Zbl 1202.20039
Bogopolski, Oleg; Ventura, Enric
2010
Combinatorial and geometric group theory. Dortmund and Ottawa-Montreal conferences. Selected papers of the conferences on “Combinatorial and geometric group theory with applications” (GAGTA), Dortmund, Germany, August 27–31, 2007, “Fields workshop in asymptotic group theory and cryptography”, Ottawa, Canada, December 14–16, 2007, and the workshop on “Action on trees, non-Archimedian words, and asymptotic cones”, Montreal, Canada, December 17–21, 2007. Zbl 1190.20001
Bogopolski, Oleg (ed.); Bumagin, Inna (ed.); Kharlampovich, Olga (ed.); Ventura, Enric (ed.)
2010
Introduction to group theory. Translated from the Russian. With a new chapter. Zbl 1215.20001
Bogopolski, Oleg
2008
The mean Dehn functions of Abelian groups. Zbl 1193.20050
Bogopolski, O.; Ventura, E.
2008
A Magnus theorem for some one-relator groups. Zbl 1151.20025
Bogopolski, Oleg; Sviridov, Konstantin
2008
The automorphism group of a free-by-cyclic group in rank 2. Zbl 1122.20018
Bogopolski, O.; Martino, A.; Ventura, E.
2007
The conjugacy problem is solvable in free-by-cyclic groups. Zbl 1116.20027
Bogopolski, O.; Martino, A.; Maslakova, O.; Ventura, E.
2006
A surface groups analogue of a theorem of Magnus. Zbl 1143.20306
Bogopolski, Oleg
2005
Simple curves on surfaces and an analog of a theorem of Magnus for surface groups. Zbl 1084.20027
Bogopolski, Oleg; Kudryavtseva, Elena; Zieschang, Heiner
2004
On the uniqueness of factors of amalgamated products. Zbl 1004.20013
Bogopolski, Oleg; Weidmann, Richard
2002
Classification of automorphisms of the free group of rank 2 by ranks of fixed-point subgroups. Zbl 0960.20017
Bogopolski, O.
2000
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#### Cited by 156 Authors

 9 Ventura Capell, Enric 6 Myasnikov, Alexei G. 5 Bogopolski, Oleg 5 Kapovich, Ilya 4 Georgakopoulos, Agelos 4 Hojka, Wolfram 3 Dudkin, Fëdor Anatol’evich 3 Gilman, Robert H. 3 Weidmann, Richard 2 Atabekyan, Varuzhan S. 2 Babaee, Ameneh 2 Beeker, Benjamin 2 Conner, Gregory R. 2 Dahmani, François 2 Delgado, Jordi 2 Feldkamp, Carsten 2 Fel’shtyn, Alexander 2 Gonçalves, Daciberg Lima 2 Herfort, Wolfgang N. 2 Howie, James 2 Kahrobaei, Delaram 2 Kaluba, Marek 2 Kharlampovich, Olga G. 2 Leininger, Christopher J. 2 Mashayekhy, Behrooz 2 Mirebrahimi, Hanieh 2 Nowak, Piotr W. 2 Osin, Denis V. 2 Pride, Stephen J. 2 Puder, Doron 2 Roman’kov, Vitaly Anatol’evich 2 Sapir, Mark Valentinovich 2 Silva, Pedro V. 2 Staecker, Peter Christopher 2 Torabi, Hamid 2 Touikan, Nicholas W. M. 2 Zalesskii, Pavel 2 Zastrow, Andreas 2 Zhao, Xuezhi 1 Adyan, Sergeĭ Ivanovich 1 Antolín, Yago 1 Aramayona, Javier 1 Barker, Nathan 1 Boggi, Marco 1 Bogopol’skiĭ, O. V. 1 Brinkmann, Peter 1 Burillo, José 1 Bux, Kai-Uwe 1 Cavallo, Bren 1 Chagas, Sheila C. 1 Chodosh, Otis 1 Corson, Samuel M. 1 Cox, Charles Garnet 1 Dai, Xiongping 1 de Oliveira, Kelvin Souza 1 Dicks, Warren 1 Diekert, Volker 1 Duncan, Andrew J. 1 Eda, Katsuya 1 Ershov, Mikhail V. 1 Fedoseev, Denis A. 1 Fernández-Sánchez, Jesús 1 Ferov, Michal 1 Fischer, Hanspeter 1 Freiman, Gregory A. 1 Gevorgyan, Amirjan L. 1 Ghaderpour, Ebrahim 1 Gitik, Rita 1 Glasner, Eli 1 Glebsky, Lev Yu. 1 Golasiński, Marek 1 Gongopadhyay, Krishnendu 1 González-Meneses, Juan 1 Grigorchuk, Rostislav Ivanovich 1 Grigor’ev, Dmitriĭ Yur’evich 1 Gryak, Jonathan 1 Hall, Jonathan I. 1 He, Sue 1 Herzog, Marcel 1 Horbez, Camille 1 Jarvis, Peter D. 1 Jeon, Woojin 1 Jiang, Boju 1 Jiménez Benitez, Rolando 1 Karpov, A. B. 1 Ketover, Daniel 1 Khoussainov, Bakhadyr M. 1 Kielak, Dawid 1 Kim, Seungwon 1 Klopsch, Benjamin 1 Kofinas, Constantinos E. 1 Kolpakov, Alexander A. 1 Kontogeorgis, Aristides I. 1 Krishna, Swathi 1 Kuckuck, Benno 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Ladra González, Manuel 1 Li, Guo 1 Lin, Hanling 1 Linnell, Peter Arnold ...and 56 more Authors
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#### Cited in 49 Serials

 14 Journal of Algebra 9 International Journal of Algebra and Computation 7 Topology and its Applications 6 Communications in Algebra 5 Israel Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 4 Journal of Pure and Applied Algebra 4 Groups, Geometry, and Dynamics 3 Inventiones Mathematicae 3 European Journal of Combinatorics 3 Algebraic & Geometric Topology 3 Groups, Complexity, Cryptology 2 Discrete Mathematics 2 Geometriae Dedicata 2 Memoirs of the American Mathematical Society 2 Siberian Mathematical Journal 2 Conformal Geometry and Dynamics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Advances in Mathematics 1 Algebra and Logic 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Russian Journal of Mathematical Physics 1 The Electronic Journal of Combinatorics 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Science China. Mathematics 1 RAIRO. Theoretical Informatics and Applications 1 Bulletin of Mathematical Sciences 1 Tunisian Journal of Mathematics
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#### Cited in 24 Fields

 95 Group theory and generalizations (20-XX) 23 Manifolds and cell complexes (57-XX) 16 Algebraic topology (55-XX) 14 Combinatorics (05-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 5 Topological groups, Lie groups (22-XX) 5 General topology (54-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)