Relation Modules of Groups with Presentations in which Each Relator Involves Exactly Two Types of Generators

DOI10.1112/jlms/s2-38.1.99zbMath0669.20023OpenAlexW2013777616MaRDI QIDQ3822393

Ralph Stöhr, Stephen J. Pride

Publication date: 1988

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-38.1.99

zbMATH Keywords

presentationcohomologygeneratorshomologyrelatorsrelation modulecyclically reduced

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05)

Related Items (4)

The diagrammatic asphericity of groups given by presentations in which each defining relator involves exactly two types of generators ⋮ Aspherical relative presentations ⋮ Euler characteristics for generalized tetrahedron groups ⋮ Torsion free commutator subgroups of generalized Coxeter groups.

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