Abstract
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 language | English |
|---|---|
| Pages (from-to) | 357-376 |
| Number of pages | 20 |
| Journal | Groups, Geometry, and Dynamics |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| State | Published - 25 Oct 2013 |
Keywords
- Free group
- Highly transitive action
- Outer automorphism group
ASJC Scopus subject areas
- Geometry and Topology
- Discrete Mathematics and Combinatorics