Rigidity of branch groups acting on rooted trees Academic Article

abstract

• 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.

authors

• Nekrashevych, Volodymyr

published proceedings

• GEOMETRIAE DEDICATA

author list (cited authors)

• Lavreniuk, Y., & Nekrashevych, V.

complete list of authors

• Lavreniuk, Y||Nekrashevych, V

publication date

• January 2002

published in

• Geometriae Dedicata  Journal

keywords

• Automata
• Automorphisms Of Rooted Trees
• Branch Groups
• Group Automorphisms
• Rooted Trees

start page

• 159

end page

• 179

volume

• 89

issue

• 1