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Fel’shtyn, Alexander

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Author ID: felshtyn.alexander Recent zbMATH articles by "Fel'shtyn, 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

Publications by Year

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
35
1994
Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018
Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij
21
2008
Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031
Fel’shtyn, Alexander; Troitsky, Evgenij
21
2007
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0963.55002
Fel’shtyn, Alexander
18
2000
The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups. Zbl 1358.20024
Fel’shtyn, Alexander; Nasybullov, Timur
14
2016
Aspects of the property \(R_\infty\). Zbl 1345.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
14
2015
Twisted conjugacy classes in R. Thompson’s group \(F\). Zbl 1169.20017
Bleak, Collin; Fel’shtyn, Alexander; Gonçalves, Daciberg L.
13
2008
The Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite. Zbl 1070.20050
Fel’shtyn, A. L.
13
2001
New directions in Nielsen-Reidemeister theory. Zbl 1233.55001
Fel’shtyn, Alexander
12
2010
The Reidemeister number of any automorphism of a Baumslag-Solitar group is infinite. Zbl 1138.20033
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
12
2008
Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
12
2006
The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\). Zbl 1346.37021
Fel’shtyn, Alexander; Lee, Jong Bum
11
2015
Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003
Fel’shtyn, Alexander; Troitsky, Evgenij
10
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.
9
2010
A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036
Fel’shtyn, Alexander; Troitsky, Evgenij
8
2006
Reidemeister numbers of equivariant maps. Zbl 0845.55002
Fel’shtyn, Alexander; Hill, Richard; Wong, Peter
7
1995
Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112
Fel’shtyn, A. L.; Troitsky, E. V.
5
2018
Reidemeister classes and twisted inner representations. Zbl 1346.20036
Fel’shtyn, A.; Luchnikov, N.; Troitsky, E.
5
2015
Trace formulae, zeta functions, congruences and Reidemeister torsion in Nielsen theory. Zbl 0992.37017
Fel’shtyn, Alexander; Hill, Richard
5
1998
The Reidemeister zeta function and the computation of the Nielsen zeta function. Zbl 0745.58038
Fel’shtyn, A. L.
5
1991
Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018
Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij
4
2008
Twisted conjugacy classes of automorphisms of Baumslag-Solitar groups. Zbl 1116.20025
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
4
2006
Floer homology, Nielsen theory, and symplectic zeta functions. Zbl 1105.53069
Fel’shtyn, A. L.
4
2004
New zeta functions for dynamical systems and Nielsen fixed point theory. Zbl 0653.58033
Fel’shtyn, A. L.
4
1988
The Nielsen zeta function. Zbl 0603.58041
Pilyugina, V. B.; Fel’shtyn, A. L.
4
1985
Dynamical zeta functions, congruences in Nielsen theory and Reidemeister torsion. Zbl 0963.37019
Fel’shtyn, Alexander; Hill, Richard
3
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
2
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.
2
2011
Nielsen theory, Floer homology and a generalisation of the Poincaré-Birkhoff theorem. Zbl 1155.37017
Fel’shtyn, Alexander
2
2008
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0793.58028
Fel’shtyn, Alexander; Hill, Richard
2
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.
2
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
1
2016
The growth rate of symplectic Floer homology. Zbl 1350.37062
Fel’shtyn, Alexander
1
2012
Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
1
2008
Dynamical zeta functions and asymptotic expansions in Nielsen theory. Zbl 1107.37017
Fel’shtyn, Alexander
1
2001
Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory. Zbl 1023.55002
Fel’shtyn, A.
1
2000
Reidemeister and Nielsen zeta functions, and Reidemeister torsion in the theory of dynamical systems. Zbl 0818.58037
Felshtyn, A. L.
1
1994
Zeta functions in Nielsen theory. Zbl 0667.58054
Fel’shtyn, A. L.
1
1988
Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups. Zbl 06888112
Fel’shtyn, A. L.; Troitsky, E. V.
5
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
2
2018
The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups. Zbl 1358.20024
Fel’shtyn, Alexander; Nasybullov, Timur
14
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
1
2016
Aspects of the property \(R_\infty\). Zbl 1345.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
14
2015
The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\). Zbl 1346.37021
Fel’shtyn, Alexander; Lee, Jong Bum
11
2015
Reidemeister classes and twisted inner representations. Zbl 1346.20036
Fel’shtyn, A.; Luchnikov, N.; Troitsky, E.
5
2015
The growth rate of symplectic Floer homology. Zbl 1350.37062
Fel’shtyn, Alexander
1
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.
2
2011
New directions in Nielsen-Reidemeister theory. Zbl 1233.55001
Fel’shtyn, Alexander
12
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.
9
2010
Twisted conjugacy classes in saturated weakly branch groups. Zbl 1192.20018
Fel’shtyn, Alexander; Leonov, Yuriy; Troitsky, Evgenij
21
2008
Twisted conjugacy classes in R. Thompson’s group \(F\). Zbl 1169.20017
Bleak, Collin; Fel’shtyn, Alexander; Gonçalves, Daciberg L.
13
2008
The Reidemeister number of any automorphism of a Baumslag-Solitar group is infinite. Zbl 1138.20033
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
12
2008
Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003
Fel’shtyn, Alexander; Troitsky, Evgenij
10
2008
Twisted Burnside theorem for two-step torsion-free nilpotent groups. Zbl 1143.20018
Fel’shtyn, Alexander; Indukaev, Fedor; Troitsky, Evgenij
4
2008
Nielsen theory, Floer homology and a generalisation of the Poincaré-Birkhoff theorem. Zbl 1155.37017
Fel’shtyn, Alexander
2
2008
Twisted Burnside-Frobenius theory for virtually polycyclic groups. Zbl 1178.20038
Fel’shtyn, Alexander; Troitsky, Evgenij
1
2008
Twisted Burnside-Frobenius theory for discrete groups. Zbl 1204.20031
Fel’shtyn, Alexander; Troitsky, Evgenij
21
2007
Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
12
2006
A twisted Burnside theorem for countable groups and Reidemeister numbers. Zbl 1147.20036
Fel’shtyn, Alexander; Troitsky, Evgenij
8
2006
Twisted conjugacy classes of automorphisms of Baumslag-Solitar groups. Zbl 1116.20025
Fel’shtyn, Alexander; Gonçalves, Daciberg L.
4
2006
Floer homology, Nielsen theory, and symplectic zeta functions. Zbl 1105.53069
Fel’shtyn, A. L.
4
2004
The Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite. Zbl 1070.20050
Fel’shtyn, A. L.
13
2001
Dynamical zeta functions and asymptotic expansions in Nielsen theory. Zbl 1107.37017
Fel’shtyn, Alexander
1
2001
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0963.55002
Fel’shtyn, Alexander
18
2000
Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory. Zbl 1023.55002
Fel’shtyn, A.
1
2000
Dynamical zeta functions, congruences in Nielsen theory and Reidemeister torsion. Zbl 0963.37019
Fel’shtyn, Alexander; Hill, Richard
3
1999
Trace formulae, zeta functions, congruences and Reidemeister torsion in Nielsen theory. Zbl 0992.37017
Fel’shtyn, Alexander; Hill, Richard
5
1998
Reidemeister numbers of equivariant maps. Zbl 0845.55002
Fel’shtyn, Alexander; Hill, Richard; Wong, Peter
7
1995
The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion. Zbl 0814.58033
Fel’shtyn, Alexander; Hill, Richard
35
1994
Reidemeister and Nielsen zeta functions, and Reidemeister torsion in the theory of dynamical systems. Zbl 0818.58037
Felshtyn, A. L.
1
1994
Dynamical zeta functions, Nielsen theory and Reidemeister torsion. Zbl 0793.58028
Fel’shtyn, Alexander; Hill, Richard
2
1993
The Reidemeister zeta function and the computation of the Nielsen zeta function. Zbl 0745.58038
Fel’shtyn, A. L.
5
1991
New zeta functions for dynamical systems and Nielsen fixed point theory. Zbl 0653.58033
Fel’shtyn, A. L.
4
1988
Zeta functions in Nielsen theory. Zbl 0667.58054
Fel’shtyn, A. L.
1
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.
2
1987
The Nielsen zeta function. Zbl 0603.58041
Pilyugina, V. B.; Fel’shtyn, A. L.
4
1985
all top 5

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
all top 5

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

Citations by Year