Twisted conjugacy classes in R. Thompson's group F
classification
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groupthompsonclassesconjugacytwistedarticleautomorphismbrin
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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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