Most actions on regular trees are almost free

Miklós Abért, Yair Glasner

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let T be a d-regular tree (d ≥ 3) and A D Aut(T) its automorphism group. Let Γ be the group generated by n independent Haar-random elements of A. We show that almost surely, every nontrivial element of Γ has finitely many fixed points on T. Mathematics Subject Classification (2000). 20E08, 05C05, 20E05.

Original languageEnglish
Pages (from-to)199-213
Number of pages15
JournalGroups, Geometry, and Dynamics
Issue number2
StatePublished - 1 Jan 2009


  • Almost free actions
  • Dense subgroups
  • Galton-watson processes
  • Random generation

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


Dive into the research topics of 'Most actions on regular trees are almost free'. Together they form a unique fingerprint.

Cite this