11 citations · 70 across the 23 of their papers we have counts for
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Reidemeister classes, wreath products and solvability
Evgenij Troitsky
Reidemeister (or twisted conjugacy) classes are considered in restricted wreath products of the form , where is a finite group. For an automorphism of fi…
Twisted conjugacy in residually finite groups of finite Prüfer rank
Evgenij Troitsky
Suppose, is a residually finite group of finite upper rank admitting an automorphism with finite Reidemeister number (the number of -twisted conjugacy classes). W…
Twisted conjugacy in some lamplighter-type groups
Evgenij Troitsky
For a restricted wreath product , where is a finite abelian group, we determine (almost in all cases) whether this product has the property (i.e.,…
Reidemeister classes in some wreath products by
Mikhail I. Fraiman, Evgenij V. Troitsky
Among restricted wreath products , where is a finite Abelian group, we find three large classes of groups admitting an automorphism with finite Reidemeis…
Reidemeister classes in some weakly branch groups
Evgenij Troitsky
We prove that a saturated weakly branch group has the property (any automorphism has infinite Reidemeister number) in each of the following cases: 1) any…
New zeta functions of Reidemeister type and twisted Burnside-Frobenius theory
Alexander Fel'shtyn, Evgenij Troitsky, Malwina Ziętek
We introduce new zeta functions related to an endomorphism of a discrete group . They are of two types: counting numbers of fixed () irreducible representat…