Finite-state self-similar actions of nilpotent groups.

DOI10.1007/s10711-012-9752-yzbMath1291.20043arXiv1105.4969OpenAlexW2053829529MaRDI QIDQ357857

Ievgen V. Bondarenko, Rostyslav V. Kravchenko

Publication date: 13 August 2013

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

Full work available at URL: https://arxiv.org/abs/1105.4969

zbMATH Keywords

nilpotent groupsautomaton groupsfinite-state actionsself-similar actions

Mathematics Subject Classification ID

Geometric group theory (20F65) Nilpotent groups (20F18) Symbolic dynamics (37B10) Groups acting on trees (20E08)

Related Items (4)

𝐶*-algebras of right LCM monoids and their equilibrium states ⋮ Self-similarity of some soluble relatively free groups ⋮ Schreier graphs of an extended version of the binary adding machine. ⋮ Schreier graphs for a self-similar action of the Heisenberg group

Cites Work

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• Automata generating free products of groups of order 2.
• Nilpotent groups
• Arithmetic aspects of self-similar groups.
• Virtual endomorphisms of nilpotent groups.
• The Generation of GL(n, Z) by Finite State Automata
• The lamplighter group as a group generated by a 2-state automaton, and its spectrum

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