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arXiv:0704.3411 [math.GR]AbstractReferencesReviewsResources

Twisted conjugacy classes in R. Thompson's group F

Collin Bleak, Alexander Fel'shtyn, Daciberg L. Gonçalves

Published 2007-04-25, updated 2007-05-05Version 2

In this short article, we prove that any automorphism of the R. Thompson's group $F$ has infinitely many twisted conjugacy classes. The result follows from the work of Matthew Brin, together with a standard facts on R. Thompson's group $F$, and elementary properties of the Reidemeister numbers.

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