On a family of Schreier graphs of intermediate growth associated with a self-similar group

DOI10.1016/j.ejc.2012.03.006zbMath1245.05060arXiv1106.3979OpenAlexW2020044105MaRDI QIDQ444396

Alfredo Donno, Ievgen V. Bondarenko, Volodymyr V. Nekrashevych, Tullio G. Ceccherini Silberstein

Publication date: 14 August 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3979

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Groups acting on trees (20E08) Infinite graphs (05C63)

Related Items (10)

Groups and semigroups defined by colorings of synchronizing automata ⋮ Growth of Schreier graphs of automaton groups. ⋮ Schreier graphs of an extended version of the binary adding machine. ⋮ A geometric approach to (semi)-groups defined by automata via dual transducers. ⋮ Schreier graphs of spinal groups ⋮ Extensions of amenable groups by recurrent groupoids ⋮ Boundary dynamics for bireversible and for contracting automaton groups ⋮ Graph automaton groups ⋮ Schreier graphs of actions of Thompson's group \(F\) on the unit interval and on the Cantor set ⋮ An example of an automatic graph of intermediate growth

Cites Work

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• \(\omega\)-periodic graphs
• Schreier spectrum of the Hanoi Towers group on three pegs
• Classification of groups generated by 3-state automata over a 2-letter alphabet

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