6 citations · 10 across the 6 of their papers we have counts for
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Geometry of Reidemeister classes and twisted Burnside theorem
Alexander Fel'shtyn, Evgenij Troitsky
This is a (mostly expository) paper on Reidemeister classes, twisted Burnside-Frobenius theory, congruences, R-infinity property and all that. It was written in 2005 and published…
Twisted conjugacy classes in Symplectic groups, Mapping class groups and Braid groups(including an Appendix written with Francois Dahmani)
Alexander Fel'shtyn, Daciberg L. Gonçalves
We prove that the symplectic group and the mapping class group of a compact surface satisfy the property. We also show that ,…
Twisted conjugacy classes in R. Thompson's group F
Collin Bleak, Alexander Fel'shtyn, Daciberg L. Gonçalves
In this short article, we prove that any automorphism of the R. Thompson's group has infinitely many twisted conjugacy classes. The result follows from the work of Matthew Brin…
Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem
Alexander Fel'shtyn
It is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms and is equal to the number of coincidence points of $\whϕ$ and $\whψ$ on the u…
Reidemeister numbers of saturated weakly branch groups
Alexander Fel'shtyn, Yuriy Leonov, Evgenij Troitsky
We prove for a wide class of saturated weakly branch group (including the (first) Grigorchuk group and the Gupta-Sidki group) that the Reidemeister number of any automorphism is in…
Twisted Burnside-Frobenius theory for discrete groups
Alexander Fel'shtyn, Evgenij Troitsky
For a wide class of groups including polycyclic and finitely generated polynomial growth groups it is proved that the Reidemeister number of an automorphism f is equal to the numbe…