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Twisted Conjugacy Classes for Polyfree Groups
Authors:Alexander Fel'shtyn  Daciberg Gonçalves
Institution:1. Instytut Matematyki , Uniwersytet Szczecinski , Szczecin , Poland;2. Dept. de Matemática – IME – USP , S?o Paulo – SP , Brasil
Abstract: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.
Keywords:Polyfree groups  Reidemeister number
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