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On generation of wreath products of cyclic groups by two state time varying Mealy automata

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9 Citations (Scopus)

Abstract

We proof that an infinitely iterated wreath product of finite cyclic groups of pairwise coprime orders is generated as a topological group by two elements a and b. The group G = 〈a, b〉 may be represented by a 2-state time-varying Mealy automaton. We derive some properties of G.

Original languageEnglish
Pages (from-to)397-415
Number of pages19
JournalInternational Journal of Algebra and Computation
Volume16
Issue number2
DOIs
Publication statusPublished - Apr 2006

Keywords

  • Group generated by time-varying automaton
  • Time-varying automaton

ASJC Scopus subject areas

  • General Mathematics

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