Quasi-isometry and finite presentations for left cancellative monoids

Robert Gray, M Kambites

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We show that being finitely presentable and being finitely presentable with solvable word problem are quasi-isometry invariants of finitely generated left cancellative monoids. Our main tool is an elementary, but useful, geometric characterization of finite presentability for left cancellative monoids. We also give examples to show that this characterization does not extend to monoids in general, and indeed that properties such as solvable word problem are not isometry invariants for general monoids.
Original languageEnglish
Pages (from-to)1099
Number of pages1
JournalInternational Journal of Algebra and Computation
Volume23
Issue number5
DOIs
Publication statusPublished - Aug 2013

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