The groups of \(ZC\)-automaton transformations.

DOI10.1007/s11202-010-0088-2zbMath1253.20059OpenAlexW2028281678MaRDI QIDQ610303

A. S. Oliynyk, V. I. Sushchans'kyi

Publication date: 8 December 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0088-2

zbMATH Keywords

derived seriesfree subsemigroupsautomaton transformationsresidually solvable groupsunitriangular matrices

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Semigroups in automata theory, linguistics, etc. (20M35) Derived series, central series, and generalizations for groups (20F14) Groups acting on trees (20E08)

Related Items (1)

On the diameters of commuting graphs of permutational wreath products

Cites Work

• Finite automata of polynomial growth do not generate a free group.
• Finite automata and Burnside's problem for periodic groups
• Sequential Functions
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