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## Ershov, Mikhail V.

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 Author ID: ershov.mikhail-v Published as: Ershov, M. V.; Ershov, Mikhail; Ershov, Mikhail V. External Links: MGP
 Documents Indexed: 21 Publications since 1999, including 1 Book
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#### Co-Authors

 10 single-authored 4 Jaikin-Zapirain, Andrei 2 Kassabov, Martin 1 Barnea, Yiftach 1 Bux, Kai-Uwe 1 Carbone, Lisa J. 1 Golan, Gili 1 He, Sue 1 Lück, Wolfgang 1 Rall, Ashley 1 Rapinchuk, Andrei S. 1 Ritter, William Gordon 1 Sapir, Mark Valentinovich 1 Weigel, Thomas S. 1 Zhang, Zezhou
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#### Serials

 2 Duke Mathematical Journal 2 Journal of Algebra 2 Transactions of the American Mathematical Society 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Moscow University Mathematics Bulletin 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Documenta Mathematica 1 Groups, Geometry, and Dynamics 1 Journal of Combinatorial Algebra
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#### Fields

 21 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 5 Nonassociative rings and algebras (17-XX) 3 Associative rings and algebras (16-XX) 2 Abstract harmonic analysis (43-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 155 times in 123 Documents Cited by Year
Property $$(T)$$ for noncommutative universal lattices. Zbl 1205.22003
Ershov, Mikhail; Jaikin-Zapirain, Andrei
2010
Abstract commensurators of profinite groups. Zbl 1244.20026
Barnea, Yiftach; Ershov, Mikhail; Weigel, Thomas
2011
Golod-Shafarevich groups: a survey. Zbl 1286.20033
Ershov, Mikhail
2012
Golod-Shafarevich groups with property $$(T)$$ and Kac-Moody groups. Zbl 1162.20018
Ershov, Mikhail
2008
Abstract simplicity of complete Kac-Moody groups over finite fields. Zbl 1157.20018
Carbone, Lisa; Ershov, Mikhail; Ritter, Gordon
2008
New just-infinite pro-$$p$$ groups of finite width and subgroups of the Nottingham group. Zbl 1062.20030
Ershov, Mikhail
2004
Groups of positive weighted deficiency and their applications. Zbl 1285.20031
Ershov, Mikhail; Jaikin-Zapirain, Andrei
2013
The congruence subgroup property for $$\operatorname{Aut} F_2$$: a group-theoretic proof of Asada’s theorem. Zbl 1251.20035
Bux, Kai-Uwe; Ershov, Mikhail V.; Rapinchuk, Andrei S.
2011
Kazhdan quotients of Golod-Shafarevich groups (with an appendix on ‘Uniform non-amenability of Golod-Shafarevich groups’ by Mikhail Ershov and Andrei Jaikin-Zapirain and an appendix on ‘Subgroup growth of Golod-Shafarevich groups’ by Andrei Jaikin-Zapirain). Zbl 1280.20037
Ershov, Mikhail
2011
Property $$(T)$$ for groups graded by root systems. Zbl 1375.22005
Ershov, Mikhail; Jaikin-Zapirain, Andrei; Kassabov, Martin
2017
On the commensurator of the Nottingham group. Zbl 1225.20026
Ershov, Mikhail
2010
The Nottingham group is finitely presented. Zbl 1069.20018
Ershov, M. V.
2005
On finiteness properties of the Johnson filtrations. Zbl 06904638
Ershov, Mikhail; He, Sue
2018
The Tarski numbers of groups. Zbl 1327.43002
Ershov, Mikhail; Golan, Gili; Sapir, Mark
2015
On subgroups of the Nottingham group of positive Hausdorff dimension. Zbl 1127.20024
Ershov, Mikhail
2007
Kazhdan groups whose FC-radical is not virtually abelian. Zbl 1357.20011
Ershov, Mikhail
2017
The first $$L^2$$-Betti number and approximation in arbitrary characteristic. Zbl 1355.20031
Ershov, Mikhail; Lück, Wolfgang
2014
Finite presentability of $$\text{SL}_1(D)$$. Zbl 1125.20034
Ershov, Mikhail
2007
On finiteness properties of the Johnson filtrations. Zbl 06904638
Ershov, Mikhail; He, Sue
2018
Property $$(T)$$ for groups graded by root systems. Zbl 1375.22005
Ershov, Mikhail; Jaikin-Zapirain, Andrei; Kassabov, Martin
2017
Kazhdan groups whose FC-radical is not virtually abelian. Zbl 1357.20011
Ershov, Mikhail
2017
The Tarski numbers of groups. Zbl 1327.43002
Ershov, Mikhail; Golan, Gili; Sapir, Mark
2015
The first $$L^2$$-Betti number and approximation in arbitrary characteristic. Zbl 1355.20031
Ershov, Mikhail; Lück, Wolfgang
2014
Groups of positive weighted deficiency and their applications. Zbl 1285.20031
Ershov, Mikhail; Jaikin-Zapirain, Andrei
2013
Golod-Shafarevich groups: a survey. Zbl 1286.20033
Ershov, Mikhail
2012
Abstract commensurators of profinite groups. Zbl 1244.20026
Barnea, Yiftach; Ershov, Mikhail; Weigel, Thomas
2011
The congruence subgroup property for $$\operatorname{Aut} F_2$$: a group-theoretic proof of Asada’s theorem. Zbl 1251.20035
Bux, Kai-Uwe; Ershov, Mikhail V.; Rapinchuk, Andrei S.
2011
Kazhdan quotients of Golod-Shafarevich groups (with an appendix on ‘Uniform non-amenability of Golod-Shafarevich groups’ by Mikhail Ershov and Andrei Jaikin-Zapirain and an appendix on ‘Subgroup growth of Golod-Shafarevich groups’ by Andrei Jaikin-Zapirain). Zbl 1280.20037
Ershov, Mikhail
2011
Property $$(T)$$ for noncommutative universal lattices. Zbl 1205.22003
Ershov, Mikhail; Jaikin-Zapirain, Andrei
2010
On the commensurator of the Nottingham group. Zbl 1225.20026
Ershov, Mikhail
2010
Golod-Shafarevich groups with property $$(T)$$ and Kac-Moody groups. Zbl 1162.20018
Ershov, Mikhail
2008
Abstract simplicity of complete Kac-Moody groups over finite fields. Zbl 1157.20018
Carbone, Lisa; Ershov, Mikhail; Ritter, Gordon
2008
On subgroups of the Nottingham group of positive Hausdorff dimension. Zbl 1127.20024
Ershov, Mikhail
2007
Finite presentability of $$\text{SL}_1(D)$$. Zbl 1125.20034
Ershov, Mikhail
2007
The Nottingham group is finitely presented. Zbl 1069.20018
Ershov, M. V.
2005
New just-infinite pro-$$p$$ groups of finite width and subgroups of the Nottingham group. Zbl 1062.20030
Ershov, Mikhail
2004
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#### Cited by 134 Authors

 12 Ershov, Mikhail V. 10 Caprace, Pierre-Emmanuel 5 Klopsch, Benjamin 5 Thillaisundaram, Anitha 4 Barnea, Yiftach 4 Ben-Ezra, David El-Chai 4 Iyudu, Natalia K. 4 Jaikin-Zapirain, Andrei 4 Petrogradsky, Victor Mikhaylovich 4 Reid, Colin D. 4 Willis, George A. 3 Capdeboscq, Inna 3 Kassabov, Martin 3 Mimura, Masato 3 Monod, Nicolas 3 Nowak, Piotr W. 3 Rémy, Bertrand 3 Schlage-Puchta, Jan-Christoph 3 Smoktunowicz, Agata 3 Wesolek, Phillip Richard 2 Babenko, Ivan K. 2 Carbone, Lisa J. 2 de Cornulier, Yves 2 De Medts, Tom 2 Garrido, Alejandra 2 Golan, Gili 2 Le Boudec, Adrien 2 Lubotzky, Alexander 2 Myasnikov, Alexei G. 2 Osin, Denis V. 2 Rumynin, Dmitriy Anatol’evich 2 Sapir, Mark Valentinovich 2 Shkarin, Stanislav A. 2 Snopce, Ilir 2 Vannacci, Matteo 2 Ye, Shengkui 2 Zhang, Zezhou 1 Abramov, Ya. V. 1 Appel, Daniel 1 Avitabile, Marina 1 Bader, Uri 1 Baumgartner, Udo 1 Bazhenov, Nikolaĭ Alekseevich 1 Bogatyĭ, Semeon Antonovich 1 Brieussel, Jérémie 1 Button, Jack Oliver 1 Cantat, Serge 1 Cirio, Lucio Simone 1 Cobbs, Leigh 1 D’Andrea, Alessandro 1 de la Salle, Mikael 1 de Laat, Tim 1 de Morais Costa, Otto Augusto 1 Deprez, Tobe 1 Doucha, Michal 1 Dudkin, Fëdor Anatol’evich 1 Ellenberg, Jordan S. 1 Fernández-Alcober, Gustavo A. 1 Foley, John David 1 Francoeur, Dominik 1 Gavioli, Norberto 1 Giannelli, Eugenio 1 González-Sánchez, Jon 1 Grigorchuk, Rostislav Ivanovich 1 Hadad, Uzy 1 Hain, Richard M. 1 Hedén, Isac 1 Hoshi, Yuichiro 1 Hristova, Katerina 1 Iijima, Yu 1 Ji, Feng 1 Jurman, Giuseppe 1 Kalimullin, Iskander Shagitovich 1 Kaluba, Marek 1 Kerr, David 1 Kharlampovich, Olga G. 1 Kida, Yoshikata 1 Klyachko, Alexander Anatol’evich 1 Koivisto, Juhani 1 Lackenby, Marc 1 Lamy, Stéphane 1 Le Maître, François 1 Li, Hanfeng 1 Lodha, Yash 1 Lück, Wolfgang 1 Ma, Jiming 1 Malicki, Maciej 1 Marquis, Timothée 1 Martínez López, Consuelo 1 Mattarei, Sandro 1 McKay, Susan 1 McReynolds, David Ben 1 Melnikov, Alexander G. 1 Mináč, Ján 1 Minasyan, Ashot 1 Mongush, A. K. 1 Monti, Valerio 1 Morita, Shigeyuki 1 Nekrashevych, Volodymyr V. 1 Netzer, Tim ...and 34 more Authors
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#### Cited in 60 Serials

 15 Journal of Algebra 7 International Journal of Algebra and Computation 6 Journal of Group Theory 5 Israel Journal of Mathematics 5 Groups, Geometry, and Dynamics 4 Communications in Algebra 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Forum of Mathematics, Sigma 2 Mathematical Notes 2 Archiv der Mathematik 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Journal of Pure and Applied Algebra 2 Transactions of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Transformation Groups 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Journal of Topology and Analysis 2 Bulletin of Mathematical Sciences 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Algebra and Logic 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series B 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Selecta Mathematica. New Series 1 Sbornik: Mathematics 1 Algebraic & Geometric Topology 1 Proceedings of the Steklov Institute of Mathematics 1 Quantum Topology 1 Forum of Mathematics, Pi 1 Axioms 1 EMS Surveys in Mathematical Sciences 1 Annals of $$K$$-Theory 1 Journal of Combinatorial Algebra
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#### Cited in 24 Fields

 89 Group theory and generalizations (20-XX) 40 Topological groups, Lie groups (22-XX) 14 Nonassociative rings and algebras (17-XX) 13 Associative rings and algebras (16-XX) 12 Manifolds and cell complexes (57-XX) 10 Functional analysis (46-XX) 6 Algebraic geometry (14-XX) 6 Abstract harmonic analysis (43-XX) 5 Combinatorics (05-XX) 5 Number theory (11-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Geometry (51-XX) 4 $$K$$-theory (19-XX) 3 Commutative algebra (13-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX)