Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator.

DOI10.1016/j.jpaa.2011.06.020zbMath1267.20049arXiv1010.4220OpenAlexW1999710028MaRDI QIDQ418907

Denis E. Lurye, Anton A. Klyachko

Publication date: 30 May 2012

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

Full work available at URL: https://arxiv.org/abs/1010.4220

zbMATH Keywords

relative presentationsrelatively hyperbolic groupsspherical diagramsSQ-universal groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06) Algebraic geometry over groups; equations over groups (20F70)

Related Items (3)

Commutator length of powers in free products of groups ⋮ Equations over solvable groups ⋮ Curvature distribution, relative presentations and hyperbolicity with an application to Fibonacci groups

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