Twisted conjugacy classes in R. Thompson's group F

C Bleak, A Fel'shtyn, DL Goncalves

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


In this article, we prove that any automorphism of R. Thompson’s group F has infinitely many twisted conjugacy classes. The result follows from the work of Brin, together with standard facts about R. Thompson’s group F, and elementary properties of the Reidemeister numbers.
Original languageEnglish
Number of pages6
JournalPacific Journal of Mathematics
Issue number1
Publication statusPublished - 1 Nov 2008


  • R-infinity property
  • R. Thompson's group F
  • Reidemeister number
  • Twisted conjugacy class


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