ON THE ASPHERICITY OF A FAMILY OF RELATIVE GROUP PRESENTATIONS

DOI10.1142/S0218196709005007zbMath1186.20023MaRDI QIDQ3636022

Peter John Davidson

Publication date: 30 June 2009

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

zbMATH Keywords

free productsfinitely presented groupsHNN-extensionsaspherical relative presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (7)

Efficient finite groups arising in the study of relative asphericity ⋮ Fibonacci Type Semigroups ⋮ 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 ⋮ Asphericity and finiteness for certain group presentations

Cites Work

• Aspherical group presentations
• On the Asphericity of Length Five Relative Group Presentations
• On the Asphericity of Length Four Relative Group Presentations
• Solutions of equations over groups
• The solution of length three equations over groups
• Aspherical relative presentations
• On the asphericity of one-relator relative presentations
• A funny property of sphere and equations over groups

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