Twisted conjugacy classes for polyfree groups

Alexander Fel'shtyn, Daciberg Gonçalves, Peter Wong

Published 2008-02-20, updated 2011-05-10Version 3

Let $G$ be a finitely generated polyfree group. If $G$ has nonzero Euler characteristic then we show that $Aut(G)$ has a finite index subgroup in which every automorphism has infinite Reidemeister number. For certain $G$ of length 2, we show that the number of Reidemeister classes of every automorphism is infinite.