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arXiv · 1812.00716

Automata system in finitelly generated groups

D. Gusev·I. A. Ivanov-Pogodaev·A. Kanel-Belov
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Abstract

We prove that any finite system of interacted automata can not leave some finite arear of Calley graph of periodic group. If group has non-periodic element, then its Calley graph can be explored by some finite automata with 3 pebbles. If group is finitely generated and aperiodic then it can not be explored by any system of finite automata.

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D. Gusev, I. A. Ivanov-Pogodaev, A. Kanel-Belov. 2018-12-03. Automata system in finitelly generated groups. https://doi.org/10.4213/mzm12898

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