11 citations · 70 across the 23 of their papers we have counts for
6 papers · 1 filter
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…
Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy
Evgenij Troitsky
The present paper consists of two parts. In the first part, we prove a noncommutative analogue of the Riesz(-Markov-Kakutani) theorem on representation of functionals on an algebra…
Twisted Burnside theorem for type II_1 groups: an example
Alexander Fel'shtyn, Evgenij Troitsky, Anatoly Vershik
The purpose of the present paper is to discuss the following conjecture of Fel'shtyn and Hill, which is a generalization of the classical Burnside theorem: Let G be a countable dis…
A twisted Burnside theorem for countable groups and Reidemeister numbers
Alexander Fel'shtyn, Evgenij Troitsky
The purpose of the present paper is to prove for finitely generated groups of type I the following conjecture of A.Fel'shtyn and R.Hill, which is a generalization of the classical…
Twisted conjugacy separable groups
Alexander Fel'shtyn, Evgenij Troitsky
We study the notion of twisted conjugacy separability (essentially introduced in our previous paper for a proof of twisted version of Burnside-Frobenius theorem) and some related p…
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…