Automata groups generated by Cayley machines of groups of nilpotency class two

DOI10.1142/S0218196721500430zbMath1502.20018arXiv2008.02945OpenAlexW3163444689MaRDI QIDQ4958330

Ning Yang

Publication date: 7 September 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02945

zbMATH Keywords

automata groupscross-wired lamplighter groupsCayley machines

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08)

Cites Work

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• The lamplighter group as a group generated by a 2-state automaton, and its spectrum

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