Element centralizers in the Higman-Thompson groups V_n

Collin Patrick Bleak, Francesco Matucci, Alison Gordon, Garrett Graham, Eugenia Sapir, Hannah Bowman, Jacob Hughes

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We produce a description of the structure of element centralizers within the Higman-Thompson groups V_n. As a corollary to our structure theorem we see that element centralizers in the V_n are finitely generated. Finally, we give a separate short argument which shows that all infinite-cyclic subgroups
within V_n are embedded without distortion.
Original languageEnglish
Pages (from-to)821-865
Number of pages45
JournalGroups, Geometry, and Dynamics
Volume7
Issue number4
Publication statusPublished - 2013

Keywords

  • Element Centralizers
  • R. Thompson's group V
  • Group Actions

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