Cohomological periodicity in graph products of combinatorially aspherical groups

DOI10.1017/S0017089500009642zbMath0813.20061OpenAlexW2034752630MaRDI QIDQ4033133

Kathy Horadam

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1017/s0017089500009642

zbMATH Keywords

fundamental groupcup productgraph of groupsperiodic cohomologysmall cancellation groupscohomology ringknot groupscombinatorially aspherical groupperiodicity isomorphismsCA groupscohomological periodicityminimal cohomological periodone- relator groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Other groups related to topology or analysis (20F38) Relations of low-dimensional topology with graph theory (57M15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

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• The cup product and coproduct for a combinatorially aspherical group
• On groups with periodic cohomology after 1-step
• On cohomological periodicity for infinite groups
• Aspherical group presentations
• The cohomology ring of an HNN extension of combinatorially aspherical groups
• Cohomology theory of aspherical groups and of small cancellation groups
• Group pairs with periodic cohomology
• The cup product for a graph product of combinatorially aspherical groups

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