On one-relator monoids and one-relator groups

DOI10.1016/S0022-4049(00)00075-XzbMath0985.20021OpenAlexW2009077276MaRDI QIDQ5935974

Sergei V. Ivanov, John C. Meakin, Stuart W. Margolis

Publication date: 6 May 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00075-x

zbMATH Keywords

presentationsword problemcyclically reduced wordsmembership problemone-relator inverse monoids

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Inverse semigroups (20M18)

Related Items (16)

SOLUTION OF THE MEMBERSHIP PROBLEM FOR CERTAIN RATIONAL SUBSETS OF ONE-RELATOR GROUPS WITH A SMALL CANCELLATION CONDITION ⋮ PRESENTATIONS OF INVERSE SEMIGROUPS, THEIR KERNELS AND EXTENSIONS ⋮ On the rational subset problem for groups. ⋮ Submonoids and rational subsets of groups with infinitely many ends. ⋮ Prefix monoids of groups and right units of special inverse monoids ⋮ A tribute to John Meakin on the occasion of his 75th birthday ⋮ The word problem for one-relation monoids: a survey ⋮ On asphericity and the Freiheitssatz for certain finitely presented groups ⋮ Decision problems for inverse monoids presented by a single sparse relator. ⋮ Undecidability of the word problem for one-relator inverse monoids via right-angled Artin subgroups of one-relator groups ⋮ New results on the prefix membership problem for one-relator groups ⋮ DECISION PROBLEMS FOR FINITELY PRESENTED AND ONE-RELATION SEMIGROUPS AND MONOIDS ⋮ On growth, identities and free subsemigroups for inverse semigroups of deficiency one ⋮ Solution of the membership problem of the prefix monoid in certain one-relator groups. ⋮ Non-finitely generated maximal subgroups of context-free monoids ⋮ On one-relator groups and units of special one-relation inverse monoids

Cites Work

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• Presentations of inverse monoids
• Inverse monoids and rational subsets of related groups
• A strengthened Freiheitssatz
• On monoids presented by a single relation
• A Short Proof of a Theorem of Adjan
• Inverse Monoids, Trees, and Context-Free Languages
• RATIONAL LANGUAGES AND INVERSE MONOID PRESENTATIONS
• Free Inverse Semigroups
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• On the Word Problem for Single Relation Monoids with an Unbordered Relator
• On the hyperbolicity of small cancellation groups and one-relator groups
• On the relationship between the problems of equality and divisibility of words for semigroups with a single defining relation
• Some results on one-relator groups
• On asphericity and the Freiheitssatz for certain finitely presented groups

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