A correspondence between a class of monoids and self-similar group actions I

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Abstract

We describe a correspondence between a class of left cancellative monoids and self-similar group actions in the sense of Nekrashevych et al. This correspondence originated in Perrot's 1972 thesis, and developed the ideas to be found in Rees' 1948 paper. © 2008 Springer Science+Business Media, LLC.

Original languageEnglish
Pages (from-to)489-517
Number of pages29
JournalSemigroup Forum
Volume76
Issue number3
DOIs
Publication statusPublished - May 2008

Keywords

  • Finite automata
  • Free monoids
  • Self-similar group actions
  • Zappa-Szép products

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