Non-elementary amenable subgroups of automata groups

DOI10.1142/S179352531850005XzbMath1384.20031arXiv1504.00610OpenAlexW2963527339MaRDI QIDQ4599149

Kate Juschenko

Publication date: 18 December 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00610

zbMATH Keywords

groups acting on rooted treeselementary amenable groupsautomata group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (6)

Amenable groups of finite cohomological dimension and the zero divisor conjecture ⋮ \(p\)-Basilica groups ⋮ The smallest Mealy automaton generating an indicable regular branch group ⋮ The Liouville property and random walks on topological groups ⋮ Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms ⋮ On elementary amenable bounded automata groups

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