The cup product and coproduct for a combinatorially aspherical group

DOI10.1016/0022-4049(84)90024-0zbMath0538.20023OpenAlexW1983205724WikidataQ126472740 ScholiaQ126472740MaRDI QIDQ793153

Kathy Horadam

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90024-0

zbMATH Keywords

cohomologycup productssmall cancellation groupscombinatorially aspherical groupsconcise CA presentationcup coproductsdiagonal mapLyndon resolution

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (3)

Cohomological periodicity in graph products of combinatorially aspherical groups ⋮ The cohomology ring of an HNN extension of combinatorially aspherical groups ⋮ The cup product for a graph product of combinatorially aspherical groups

Cites Work

• Homology of group systems with applications to knot theory
• Aspherical group presentations
• The diagonal comultiplication on homology
• Cohomology theory of aspherical groups and of small cancellation groups
• Free differential calculus. I: Derivation in the free group ring. II: The isomerphism problem of groups. III: Subgroups
• Cohomology theory of groups with a single defining relation
• Classification of Demushkin Groups

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