Generic groups acting on regular trees

Miklós Abért, Yair Glasner

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Let T be a k-regular tree (k ≥ 3) and A = Aut(T) its automorphism group. We analyze a generic finitely generated subgroup Γ of A. We show that Γ is free and establish a trichotomy on the closure Γ̄ of Γ̄ in A. It turns out that Γ̄ is either discrete, compact or has index at most 2 in A.

Original languageEnglish
Pages (from-to)3597-3610
Number of pages14
JournalTransactions of the American Mathematical Society
Issue number7
StatePublished - 1 Jul 2009

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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