Twisted conjugacy classes in R. Thompson's group F

Details Twisted conjugacy classes in R. Thompson's group F Twisted conjugacy classes in R. Thompson's group F

2007-04-25

arxiv.org/abs/0704.3411v2

Mathematics

Group Theory

10 pages

Scientific paper

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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