Large scale properties for bounded automata groups.

DOI10.1016/J.JFA.2015.04.018zbMath1327.20031arXiv1510.00350OpenAlexW2964300901MaRDI QIDQ2347081

Xiaoman Chen, Jiawen Zhang

Publication date: 26 May 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00350

zbMATH Keywords

asymptotic dimensionself-similar groupsbounded automata groupsfinite decomposition complexity

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Geometric group theory (20F65) Asymptotic properties of groups (20F69) Dimension theory in general topology (54F45) Groups acting on trees (20E08)

Cites Work

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• On finite decomposition complexity of Thompson group.
• On amenability of automata groups.
• Large scale geometry
• On the Burnside problem for periodic groups
• On Burnside's problem on periodic groups
• The Novikov conjecture for groups with finite asymptotic dimension
• Automorphisms of one-rooted trees: growth, circuit structure, and acyclicity.
• A notion of geometric complexity and its application to topological rigidity
• Finite automata of polynomial growth do not generate a free group.
• The asymptotic dimension of the first Grigorchuk group is infinity.
• THE ABSTRACT THEORY OF AUTOMATA
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS

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