On the Asphericity of Length Four Relative Group Presentations

DOI10.1142/S0218196797000149zbMath0871.20024OpenAlexW2057499020MaRDI QIDQ3128542

William A. Bogley, Young-Gheel Baik, Stephen J. Pride

Publication date: 28 July 1997

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196797000149

zbMATH Keywords

curvaturecohomology of groupsasphericityspherical picturesrelative group presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05)

Related Items (10)

NEW INVARIANTS FOR GROUPS ⋮ Efficient finite groups arising in the study of relative asphericity ⋮ Cockcroft presentations ⋮ Cyclically presented groups with length four positive relators ⋮ On shift dynamics for cyclically presented groups. ⋮ Asphericity of a length four relative group presentation ⋮ Asphericity of positive free product length 4 relative group presentations ⋮ The infinite Fibonacci groups and relative asphericity ⋮ ON THE ASPHERICITY OF A FAMILY OF RELATIVE GROUP PRESENTATIONS ⋮ Asphericity and finiteness for certain group presentations

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