Finite index subgroups without unique product in graphical small cancellation groups: Figure 1.

DOI10.1112/blms/bdv040zbMath1337.20034arXiv1407.6850OpenAlexW1765228974MaRDI QIDQ5501661

Markus Steenbock, Dominik Gruber, Alexandre Martin

Publication date: 14 August 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6850

zbMATH Keywords

subgroups of finite indextorsion-free hyperbolic groupsnon-unique product groupsgraphical small cancellation presentations

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)

Related Items (5)

A combination theorem for cubulation in small cancellation theory over free products ⋮ Unique product groups and congruence subgroups ⋮ Rips construction without unique product ⋮ A counterexample to the unit conjecture for group rings ⋮ Negative curvature in graphical small cancellation groups

Cites Work

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• LOCALLY INVARIANT ORDERS ON GROUPS
• Subgroups of small Cancellation Groups
• Subgroups of Small Cancellation Groups
• Sur l'anneau d'un groupe hyperbolique
• Zero divisors in group rings
• Groups with graphical 𝐶(6) and 𝐶(7) small cancellation presentations

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