Conjugacy and dynamics in almost automorphism groups of trees

Gil Goffer, Waltraud Lederle

Research output: Contribution to journalArticlepeer-review


We determine when two almost automorphisms of a regular tree are conjugate. This is done by combining the classification of conjugacy classes in the automorphism group of a level-homogeneous tree by Gawron, Nekrashevych and Sushchansky and the solution of the conjugacy problem in Thompson’s V by Belk and Matucci. We also analyze the dynamics of a tree almost automorphism as a homeomorphism of the boundary of the tree.

Original languageEnglish
Pages (from-to)1497-1545
Number of pages49
JournalInternational Journal of Algebra and Computation
Issue number8
StatePublished - 1 Dec 2021
Externally publishedYes


  • Conjugacy
  • Neretin’s group
  • orbital types
  • strand diagrams
  • tree almost automorphisms

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Conjugacy and dynamics in almost automorphism groups of trees'. Together they form a unique fingerprint.

Cite this