Twisted conjugacy classes for polyfree groups

2008/02/20 by Alexander Fel'shtyn, Fel'shtyn, Alexander, Daciberg Gonçalves +3 · 1 citation
Mathematics · #20E45 #55M20 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20E45 #msc:55M20

paper · pdf · doi:10.48550/arxiv.0802.2937

11 pages

arxiv created 2011/05/10 · arxiv updated 2015/03/13

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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• Geometry of Reidemeister classes and twisted Burnside theorem

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