Random triangular groups at density

DOI10.1112/S0010437X14007805zbMath1334.20076arXiv1308.5867OpenAlexW3098131265MaRDI QIDQ5179515

Jacek Świątkowski, Sylwia Antoniuk, Tomasz Łuczak

Publication date: 20 March 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5867

zbMATH Keywords

random graphsspectral gapsrandom groupsrandom hypergraphsKazhdan property (T)triangular groupstriangular group presentations

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 (9)

Random groups, random graphs and eigenvalues of \(p\)-Laplacians ⋮ Random Triangular Groups ⋮ Property (T) in density-type models of random groups ⋮ On random presentations with fixed relator length ⋮ Freiheitssatz and phase transition for the density model of random groups ⋮ Banach space actions and \(L^2\)-spectral gap ⋮ Random triangular Burnside groups ⋮ Density of random subsets and applications to group theory ⋮ Non‐orderability of random triangular groups by using random 3CNF formulas

Cites Work

• Component structure in the evolution of random hypergraphs
• Property (T) and Kazhdan constants for discrete groups
• Sharp phase transition theorems for hyperbolicity of random groups.
• Random groups and property (T ): Żuk's theorem revisited
• SOME SMALL CANCELLATION PROPERTIES OF RANDOM GROUPS

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