Balanced walls for random groups

DOI10.1307/mmj/1434731930zbMath1364.20028arXiv1407.0332OpenAlexW2994769272MaRDI QIDQ494157

John M. Mackay, Piotr Przytycki

Publication date: 31 August 2015

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0332

zbMATH Keywords

Cayley complexCAT(0) cube complexGromov density modelrandom group

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Probabilistic methods in group theory (20P05)

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Cubulating random groups in the square model ⋮ Random groups, random graphs and eigenvalues of \(p\)-Laplacians ⋮ Property (T) in k-gonal random groups ⋮ Property (T) in density-type models of random groups ⋮ Cubulating random quotients of hyperbolic cubulated groups ⋮ Random group actions on \(\text{CAT}(0)\) square complexes ⋮ Random triangular Burnside groups ⋮ Random groups at density 𝑑<3/14 act non-trivially on a CAT(0) cube complex ⋮ Conformal dimension via subcomplexes for small cancellation and random groups

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