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

Mark V. Lawson

doi:10.1007/s00233-008-9052-x

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

Mark V. Lawson

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

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 language	English
Pages (from-to)	489-517
Number of pages	29
Journal	Semigroup Forum
Volume	76
Issue number	3
DOIs	https://doi.org/10.1007/s00233-008-9052-x
Publication status	Published - May 2008

Keywords

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

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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. {\textcopyright} 2008 Springer Science+Business Media, LLC.",

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AB - 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.

KW - Finite automata

KW - Free monoids

KW - Self-similar group actions

KW - Zappa-Szép products

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JO - Semigroup Forum

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IS - 3

ER -

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

Abstract

Keywords

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