Word Hyperbolic Semigroups

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dc.creatorDuncan, Andrew
dc.creatorGilman, Robert H.
dc.date2002-04-30
dc.date.accessioned2026-07-07T04:48:09Z
dc.date.available2026-07-07T04:48:09Z
dc.descriptionThe study of word hyperbolic groups is a prominent topic in geometric group theory; however word hyperbolic groups are defined by a geometric condition which does not extend naturally to semigroups. We propose a linguistic definition. Roughly speaking a semigroup is word hyperbolic if its multiplication table is a context free language. For groups this definition is equivalent to the original geometric one. We also briefly consider word problems of semigroups.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0204353
dc.identifierhttp://arxiv.org/abs/math/0204353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63940
dc.subjectGroup Theory
dc.subject20M10 (Primary) 20M35, 20F65 (Secondary)
dc.titleWord Hyperbolic Semigroups
dc.typetext

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