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

2020/08/07 by Ning Yang, Yang, Ning
Computer Science · Engineering · Mathematics · #20E08 #20E22 #Cellular Automata and Applications #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:20E08 #msc:20E22

paper · pdf · doi:10.48550/arxiv.2008.02945

8 pages, 1 table

arxiv created 2020/08/07 · openalex publication_date 2020/08/07 · arxiv updated 2020/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show presentations of automata groups generated by Cayley machines of finite groups of nilpotency class two and these automata groups are all cross-wired lamplighters.

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• Groups defined by automata