Rigidity of branch groups acting on rooted trees Academic Article uri icon


  • Automorphisms of groups acting faithfully on rooted trees are studied. We find conditions under which every automorphism of such a group is induced by a conjugation from the full automorphism group of the rooted tree. These results are applied to known examples such as Grigorchuk groups, Gupta-Sidki group, etc.

published proceedings


author list (cited authors)

  • Lavreniuk, Y., & Nekrashevych, V.

complete list of authors

  • Lavreniuk, Y||Nekrashevych, V

publication date

  • January 2002