Twisted conjugacy classes for polyfree groups

Details Twisted conjugacy classes for polyfree groups Twisted conjugacy classes for polyfree groups

2008-02-20

arxiv.org/abs/0802.2937v3

Mathematics

Group Theory

11 pages

Scientific paper

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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