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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.

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Authors and Affiliations

  1. Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, Scotland

    Mark V. Lawson

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  1. Mark V. Lawson
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Correspondence to Mark V. Lawson.

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Communicated by Norman R. Reilly.

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Lawson, M.V. A correspondence between a class of monoids and self-similar group actions I. Semigroup Forum 76, 489–517 (2008). https://doi.org/10.1007/s00233-008-9052-x

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  • DOI: https://doi.org/10.1007/s00233-008-9052-x

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