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