A SVARC-MILNOR LEMMA FOR MONOIDS ACTING BY ISOMETRIC EMBEDDINGS

Robert Gray*, Mark Kambites

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    We continue our program of extending key techniques from geometric group theory to semigroup theory, by studying monoids acting by isometric embeddings on spaces equipped with asymmetric, partially defined distance functions. The canonical example of such an action is a cancellative monoid acting by translation on its Cayley graph. Our main result is an extension of the. Svarc-Milnor lemma to this setting.

    Original languageEnglish
    Pages (from-to)1135-1147
    Number of pages13
    JournalInternational Journal of Algebra and Computation
    Volume21
    Issue number7
    DOIs
    Publication statusPublished - Nov 2011

    Keywords

    • Monoid
    • cancellative monoid
    • finitely generated
    • action
    • semimetric space
    • SEMIGROUPS

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