Cockcroft presentations

DOI10.1016/0022-4049(95)00027-5zbMath0851.20029OpenAlexW4210617925MaRDI QIDQ1910764

C. W. Kilgour, Stephen J. Pride

Publication date: 14 October 1996

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(95)00027-5

zbMATH Keywords

minimalityminimal subgroupsfinite presentationscombinatorial homotopy\(p\)-Cockcroft presentations\(p\)-Cockcroft thresholdscovering complexesefficiency of presentationsgeneralized graphs of groupsrelation gap problem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Cancellation theory of groups; application of van Kampen diagrams (20F06)

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Cites Work

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• Groups with no infinite perfect subgroups and aspherical 2-complexes
• Solvable groups with cyclic relation module
• The identity problem for graph products of groups
• On the Asphericity of Length Four Relative Group Presentations
• On generalized braid groups
• Aspherical relative presentations
• Minimal Cockcroft subgroups
• Cockcroft properties of graphs of 2-complexes
• Unions of Cockcroft two-complexes
• Threshold subgroups for cockcroft 2-complexes
• FINITE PRESENTATIONS OF GROUPS AND 3-MANIFOLDS