Low dimensional homotopy for monoids II: groups

DOI10.1017/S0017089599970179zbMath0932.20046MaRDI QIDQ4242595

Stephen J. Pride

Publication date: 20 July 1999

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

relationsgroup presentationsgeneratorscrossed modulesmonoid presentationshomotopy groupsfundamental groupoidsfinite derivation typespherical pictureshomological finiteness conditions

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free semigroups, generators and relations, word problems (20M05) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (14)

SECOND ORDER DEHN FUNCTIONS OF GROUPS AND MONOIDS ⋮ SOME EXACT SEQUENCES FOR THE HOMOTOPY (BI-)MODULE OF A MONOID ⋮ Minimal But Inefficient Presentations for Self Semidirect Products of the Free Abelian Monoid on Two Generators ⋮ Finite derivation type for semi-direct products of monoids ⋮ The algebra of rewriting for presentations of inverse monoids ⋮ A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions ⋮ On some homotopical and homological properties of monoid presentations. ⋮ Homological Finite Derivation Type ⋮ FINITENESS CONDITIONS FOR REWRITING SYSTEMS ⋮ A NEW EXAMPLE FOR MINIMALITY OF MONOIDS ⋮ Finiteness and Dehn functions of automatic monoids having directed fellow traveller property. ⋮ Groupoids and the algebra of rewriting in group presentations ⋮ On Finite Complete Presentations and Exact Decompositions of Semigroups ⋮ Finite homotopy bases of one-relator monoids

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