Highly transitive actions of Out(Fn)

Shelly Garion, Yair Glasner

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


An action of a group on a set is called k-transitive if it is transitive on ordered k-tuples and highly transitive if it is k-transitive for every k. We show that for n ≤ 4 the group Out(Fn) D Aut(Fn)=Inn(Fn) admits a faithful highly transitive action on a countable set.

Original languageEnglish
Pages (from-to)357-376
Number of pages20
JournalGroups, Geometry, and Dynamics
Issue number2
StatePublished - 25 Oct 2013


  • Free group
  • Highly transitive action
  • Outer automorphism group

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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