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## Fel’shtyn, Alexander

Compute Distance To:
 Author ID: felshtyn.alexander Published as: Fel’shtyn, A.; Fel’shtyn, A. L.; Fel’shtyn, Alexander; Felshtyn, A. L. External Links: ORCID
 Documents Indexed: 74 Publications since 1979, including 1 Book Reviewing Activity: 40 Reviews
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#### Co-Authors

 37 single-authored 12 Troitskiĭ, Evgeniĭ Vadimovich 6 Gonçalves, Daciberg Lima 6 Hill, Richard Michael 4 Lee, Jong Bum 3 Pilyugina, V. B. 2 Sánchez-Morgado, Héctor 2 Wong, Peter N.-S. 2 Zietek, Malwina 1 Bleak, Collin 1 Gontareva, I. B. 1 Indukaev, Fedor 1 Jo, Jang Hyun 1 Leonov, Yu. G. 1 Luchnikov, N. 1 Nasybullov, Timur Rinatovich 1 Pilyugina, Violetta 1 Vershik, Anatoliĭ Moiseevich
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#### Serials

 4 Topology and its Applications 3 Functional Analysis and its Applications 3 Russian Journal of Mathematical Physics 3 St. Petersburg Mathematical Journal 3 Journal of Group Theory 3 Journal of Fixed Point Theory and Applications 3 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Geometriae Dedicata 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Soviet Mathematics 2 Soviet Mathematics 2 Vestnik Leningrad University. Mathematics 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 1 Communications in Algebra 1 Colloquium Mathematicum 1 Differential Equations 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 International Journal of Mathematics and Mathematical Sciences 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 $$K$$-Theory 1 Forum Mathematicum 1 Algebra i Analiz 1 International Journal of Algebra and Computation 1 Zapiski Nauchnykh Seminarov POMI 1 Mathematical Research Letters 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Algebra and Discrete Mathematics 1 Journal of $$K$$-Theory
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#### Fields

 64 Dynamical systems and ergodic theory (37-XX) 36 Algebraic topology (55-XX) 26 Group theory and generalizations (20-XX) 26 Manifolds and cell complexes (57-XX) 9 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 4 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 290 times in 89 Documents Cited by Year
The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion. Zbl 0814.58033
Fel’shtyn, Alexander; Hill, Richard
1994
Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018
Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij
2008
Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031
Fel’shtyn, Alexander; Troitsky, Evgenij
2007
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0963.55002
Fel’shtyn, Alexander
2000
The $$R_\infty$$ and $$S_\infty$$ properties for linear algebraic groups. Zbl 1358.20024
Fel’shtyn, Alexander; Nasybullov, Timur
2016
Aspects of the property $$R_\infty$$. Zbl 1345.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
2015
Twisted conjugacy classes in R. Thompson’s group $$F$$. Zbl 1169.20017
Bleak, Collin; Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2008
The Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite. Zbl 1070.20050
Fel’shtyn, A. L.
2001
New directions in Nielsen-Reidemeister theory. Zbl 1233.55001
Fel’shtyn, Alexander
2010
The Reidemeister number of any automorphism of a Baumslag-Solitar group is infinite. Zbl 1138.20033
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2008
Twisted Burnside theorem for type $$\text{II}_1$$ groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
2006
The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type $$(\mathrm{R})$$. Zbl 1346.37021
Fel’shtyn, Alexander; Lee, Jong Bum
2015
Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003
Fel’shtyn, Alexander; Troitsky, Evgenij
2008
Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups. (With an appendix written jointly with Francois Dahmani). Zbl 1251.20032
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2010
A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036
Fel’shtyn, Alexander; Troitsky, Evgenij
2006
Reidemeister numbers of equivariant maps. Zbl 0845.55002
Fel’shtyn, Alexander; Hill, Richard; Wong, Peter
1995
Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112
Fel’shtyn, A. L.; Troitsky, E. V.
2018
Reidemeister classes and twisted inner representations. Zbl 1346.20036
Fel’shtyn, A.; Luchnikov, N.; Troitsky, E.
2015
Trace formulae, zeta functions, congruences and Reidemeister torsion in Nielsen theory. Zbl 0992.37017
Fel’shtyn, Alexander; Hill, Richard
1998
The Reidemeister zeta function and the computation of the Nielsen zeta function. Zbl 0745.58038
Fel’shtyn, A. L.
1991
Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018
Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij
2008
Twisted conjugacy classes of automorphisms of Baumslag-Solitar groups. Zbl 1116.20025
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2006
Floer homology, Nielsen theory, and symplectic zeta functions. Zbl 1105.53069
Fel’shtyn, A. L.
2004
New zeta functions for dynamical systems and Nielsen fixed point theory. Zbl 0653.58033
Fel’shtyn, A. L.
1988
The Nielsen zeta function. Zbl 0603.58041
Pilyugina, V. B.; Fel’shtyn, A. L.
1985
Dynamical zeta functions, congruences in Nielsen theory and Reidemeister torsion. Zbl 0963.37019
Fel’shtyn, Alexander; Hill, Richard
1999
The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits. Zbl 1394.37036
Fel’shtyn, Alexander; Lee, Jong Bum
2018
Reidemeister spectrum for metabelian groups of the form $$\mathbb Q^n\rtimes\mathbb Z$$ and $$\mathbb Z[1/p]^n\rtimes\mathbb Z$$, $$p$$ prime. Zbl 1225.20030
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2011
Nielsen theory, Floer homology and a generalisation of the Poincaré-Birkhoff theorem. Zbl 1155.37017
Fel’shtyn, Alexander
2008
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0793.58028
Fel’shtyn, Alexander; Hill, Richard
1993
A new zeta-function in Nielsen’s theory and a universal product formula for dynamical zeta-functions. Zbl 0628.58047
Fel’shtyn, A. L.
1987
The Nielsen and Reidemeister theories of iterations on infra-solvmanifolds of type (R) and poly-Bieberbach groups. Zbl 1376.37054
Fel’shtyn, Alexander; Lee, Jong Bum
2016
The growth rate of symplectic Floer homology. Zbl 1350.37062
Fel’shtyn, Alexander
2012
Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
2008
Dynamical zeta functions and asymptotic expansions in Nielsen theory. Zbl 1107.37017
Fel’shtyn, Alexander
2001
Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory. Zbl 1023.55002
Fel’shtyn, A.
2000
Reidemeister and Nielsen zeta functions, and Reidemeister torsion in the theory of dynamical systems. Zbl 0818.58037
Felshtyn, A. L.
1994
Zeta functions in Nielsen theory. Zbl 0667.58054
Fel’shtyn, A. L.
1988
Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112
Fel’shtyn, A. L.; Troitsky, E. V.
2018
The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits. Zbl 1394.37036
Fel’shtyn, Alexander; Lee, Jong Bum
2018
The $$R_\infty$$ and $$S_\infty$$ properties for linear algebraic groups. Zbl 1358.20024
Fel’shtyn, Alexander; Nasybullov, Timur
2016
The Nielsen and Reidemeister theories of iterations on infra-solvmanifolds of type (R) and poly-Bieberbach groups. Zbl 1376.37054
Fel’shtyn, Alexander; Lee, Jong Bum
2016
Aspects of the property $$R_\infty$$. Zbl 1345.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
2015
The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type $$(\mathrm{R})$$. Zbl 1346.37021
Fel’shtyn, Alexander; Lee, Jong Bum
2015
Reidemeister classes and twisted inner representations. Zbl 1346.20036
Fel’shtyn, A.; Luchnikov, N.; Troitsky, E.
2015
The growth rate of symplectic Floer homology. Zbl 1350.37062
Fel’shtyn, Alexander
2012
Reidemeister spectrum for metabelian groups of the form $$\mathbb Q^n\rtimes\mathbb Z$$ and $$\mathbb Z[1/p]^n\rtimes\mathbb Z$$, $$p$$ prime. Zbl 1225.20030
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2011
New directions in Nielsen-Reidemeister theory. Zbl 1233.55001
Fel’shtyn, Alexander
2010
Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups. (With an appendix written jointly with Francois Dahmani). Zbl 1251.20032
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2010
Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018
Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij
2008
Twisted conjugacy classes in R. Thompson’s group $$F$$. Zbl 1169.20017
Bleak, Collin; Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2008
The Reidemeister number of any automorphism of a Baumslag-Solitar group is infinite. Zbl 1138.20033
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2008
Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003
Fel’shtyn, Alexander; Troitsky, Evgenij
2008
Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018
Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij
2008
Nielsen theory, Floer homology and a generalisation of the Poincaré-Birkhoff theorem. Zbl 1155.37017
Fel’shtyn, Alexander
2008
Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
2008
Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031
Fel’shtyn, Alexander; Troitsky, Evgenij
2007
Twisted Burnside theorem for type $$\text{II}_1$$ groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
2006
A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036
Fel’shtyn, Alexander; Troitsky, Evgenij
2006
Twisted conjugacy classes of automorphisms of Baumslag-Solitar groups. Zbl 1116.20025
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
2006
Floer homology, Nielsen theory, and symplectic zeta functions. Zbl 1105.53069
Fel’shtyn, A. L.
2004
The Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite. Zbl 1070.20050
Fel’shtyn, A. L.
2001
Dynamical zeta functions and asymptotic expansions in Nielsen theory. Zbl 1107.37017
Fel’shtyn, Alexander
2001
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0963.55002
Fel’shtyn, Alexander
2000
Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory. Zbl 1023.55002
Fel’shtyn, A.
2000
Dynamical zeta functions, congruences in Nielsen theory and Reidemeister torsion. Zbl 0963.37019
Fel’shtyn, Alexander; Hill, Richard
1999
Trace formulae, zeta functions, congruences and Reidemeister torsion in Nielsen theory. Zbl 0992.37017
Fel’shtyn, Alexander; Hill, Richard
1998
Reidemeister numbers of equivariant maps. Zbl 0845.55002
Fel’shtyn, Alexander; Hill, Richard; Wong, Peter
1995
The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion. Zbl 0814.58033
Fel’shtyn, Alexander; Hill, Richard
1994
Reidemeister and Nielsen zeta functions, and Reidemeister torsion in the theory of dynamical systems. Zbl 0818.58037
Felshtyn, A. L.
1994
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0793.58028
Fel’shtyn, Alexander; Hill, Richard
1993
The Reidemeister zeta function and the computation of the Nielsen zeta function. Zbl 0745.58038
Fel’shtyn, A. L.
1991
New zeta functions for dynamical systems and Nielsen fixed point theory. Zbl 0653.58033
Fel’shtyn, A. L.
1988
Zeta functions in Nielsen theory. Zbl 0667.58054
Fel’shtyn, A. L.
1988
A new zeta-function in Nielsen’s theory and a universal product formula for dynamical zeta-functions. Zbl 0628.58047
Fel’shtyn, A. L.
1987
The Nielsen zeta function. Zbl 0603.58041
Pilyugina, V. B.; Fel’shtyn, A. L.
1985
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#### Cited by 75 Authors

 20 Fel’shtyn, Alexander 13 Gonçalves, Daciberg Lima 12 Troitskiĭ, Evgeniĭ Vadimovich 11 Dekimpe, Karel 10 Wong, Peter N.-S. 8 Nasybullov, Timur Rinatovich 5 Lee, Jong Bum 5 Sankaran, Parameswaran 4 Tertooy, Sam 3 Dugardein, Gert-Jan 3 Jezierski, Jerzy 2 Graff, Grzegorz 2 Hill, Richard Michael 2 Jabara, Enrico 2 Koban, Nic 2 Mubeena, T. 2 Roman’kov, Vitaly Anatol’evich 2 Sozen, Yasar 2 Van den Bussche, Iris 2 Ventura Capell, Enric 2 Zietek, Malwina 1 Andersen, Jørgen Ellegaard 1 Andres, Jan 1 Bardakov, Valeriĭ Georgievich 1 Bogopolski, Oleg 1 Burillo, José 1 Byszewski, Jakub 1 Cardona, Fernanda Soares Pinto 1 Cornelissen, Gunther 1 Cotton-Clay, Andrew 1 Deré, Jonas 1 Fraĭman, Mikhaĭl Igor’evich 1 Ginzburg, Viktor L’vovich 1 Gordeev, Nikolai L. 1 Górniewicz, Lech 1 Gornova, M. N. 1 Gürel, Basak Zehra 1 Guyot, Luc 1 Ha, Ku Yong 1 Heath, Philip R. 1 Himpel, Benjamin 1 Houben, Marc 1 Kaiser, Tom 1 Kang, Cholyong 1 Kukina, E. G. 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Leonov, Yu. G. 1 Levitt, Gilbert 1 Li, Songho 1 Liang, Zaitao 1 Luchnikov, N. 1 Martino, Armando 1 Matucci, Francesco 1 Naik, Tushar Kanta 1 Nanda, Neha 1 Neshchadim, Mikhail Vladimirovich 1 Ocampo Uribe, Oscar Eduardo 1 Pengitore, Mark 1 Penninckx, Pieter 1 Plotkin, Eugene 1 Puttkamer, Timm von 1 Ryu, Taewon 1 Senden, Pieter 1 Singh, Mahender 1 Smith, Ivan 1 Stalder, Yves 1 Stein, Melanie I. 1 Taback, Jennifer 1 Vaugon, Anne 1 Weber, Julia 1 Wong, Peter J. 1 Wu, Xiaolei 1 Yoo, WonSok 1 Zarelua, A. V. 1 Zhao, Xuezhi
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#### Cited in 41 Serials

 16 Topology and its Applications 6 Journal of Fixed Point Theory and Applications 5 Communications in Algebra 5 Geometriae Dedicata 4 Journal of Algebra 4 Russian Journal of Mathematical Physics 3 Journal für die Reine und Angewandte Mathematik 3 International Journal of Algebra and Computation 3 Journal of Group Theory 2 Algebra and Logic 2 $$K$$-Theory 2 Journal of Knot Theory and its Ramifications 2 Geometry & Topology 2 Journal of Algebra and its Applications 2 Groups, Geometry, and Dynamics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Transformation Groups 1 Algebraic & Geometric Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of $$K$$-Theory 1 Quantum Topology 1 Arnold Mathematical Journal 1 Prikladnaya Diskretnaya Matematika
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#### Cited in 24 Fields

 58 Group theory and generalizations (20-XX) 44 Algebraic topology (55-XX) 31 Dynamical systems and ergodic theory (37-XX) 20 Manifolds and cell complexes (57-XX) 13 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 4 Abstract harmonic analysis (43-XX) 4 General topology (54-XX) 3 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)