Collapse of random triangular groups: a closer look

DOI10.1112/blms/bdu034zbMath1298.20079arXiv1304.3583OpenAlexW3098133745MaRDI QIDQ5495346

Tomasz Łuczak, Jacek Świątkowski, Sylwia Antoniuk

Publication date: 4 August 2014

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

Full work available at URL: https://arxiv.org/abs/1304.3583

zbMATH Keywords

presentationsasymptotic behaviorhyperbolic groupscyclically reduced wordsrandom groupsdensity modelrandom triangular groups

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Probabilistic methods in group theory (20P05)

Related Items (5)

Random Triangular Groups ⋮ Percolation on hyperbolic graphs ⋮ On topological minors in random simplicial complexes ⋮ On simple connectivity of random 2-complexes ⋮ Non‐orderability of random triangular groups by using random 3CNF formulas

Cites Work

• Component evolution in random intersection graphs
• Property (T) and Kazhdan constants for discrete groups
• Random groups and property (T ): Żuk's theorem revisited

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