Bass-Serre theory for groupoids and the structure of full regular semigroup amalgams

DOI10.1006/jabr.1996.0206zbMath0858.20055OpenAlexW1977670827MaRDI QIDQ1921896

Stephen Haataja, Stuart W. Margolis, John C. Meakin

Publication date: 11 March 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.0206

zbMATH Keywords

maximal subgroupsfundamental groupsgraphs of groupsamalgamated free productsBass-Serre theorycategories of inverse semigroupsfull inverse subsemigroupsamalgamated free products of groupoidscategory of regular semigroupsgroups acting on graphs

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Groups acting on trees (20E08)

Related Items (17)

Decidability Versus Undecidability of the Word Problem in Amalgams of Inverse Semigroups ⋮ Subgroups of free idempotent generated semigroups need not be free. ⋮ FINITE PRESENTABILITY OF HNN EXTENSIONS OF INVERSE SEMIGROUPS ⋮ Dixmier groups and Borel subgroups ⋮ HNN extensions of inverse semigroups and groupoids. ⋮ A tribute to John Meakin on the occasion of his 75th birthday ⋮ A note on amalgams of inverse semigroups ⋮ Locally full HNN extensions of inverse semigroups ⋮ Amalgams of free inverse semigroups. ⋮ Amalgamated free products of inverse semigroups ⋮ Amalgamated free products of inverse semigroups ⋮ A class of inverse monoids acting on ordered forests. ⋮ Amalgams of finite inverse semigroups. ⋮ An amalgam of inverse semigroups is embedded into an amalgam with a lower bounded core ⋮ Maximal subgroups of amalgams of finite inverse semigroups. ⋮ HNN EXTENSIONS OF SEMILATTICES ⋮ Normal forms for semigroup amalgams

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