Rigidity of branch groups acting on rooted trees

DOI10.1023/A:1014264212978zbMath0993.05050OpenAlexW1591094656MaRDI QIDQ1597472

Yaroslav Lavreniuk, Volodymyr V. Nekrashevych

Publication date: 30 May 2002

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014264212978

zbMATH Keywords

automorphism groupautomatarooted treesbranch groups

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphism groups of groups (20F28) Groups acting on trees (20E08)

Related Items (18)

Weakly maximal subgroups in regular branch groups. ⋮ Unnamed Item ⋮ A minimal Cantor set in the space of 3-generated groups. ⋮ The profinite completion of multi-EGS groups ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Amenability and profinite completions of finitely generated groups ⋮ \(p\)-Basilica groups ⋮ Reidemeister classes in some weakly branch groups ⋮ Simple locally compact groups acting on trees and their germs of automorphisms. ⋮ The automorphism tower of groups acting on rooted trees ⋮ Twisted conjugacy classes in saturated weakly branch groups. ⋮ Extensions of automorphisms of self-similar groups ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ AN UNCOUNTABLE FAMILY OF 3-GENERATED GROUPS WITH ISOMORPHIC PROFINITE COMPLETIONS ⋮ Isometry types of profinite groups. ⋮ Hausdorff dimension of the second Grigorchuk group ⋮ Constructing uncountably many groups with the same profinite completion

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