Random groups arising as graph products.

DOI10.2140/agt.2012.12.979zbMath1280.20046arXiv1006.3378OpenAlexW3105610541MaRDI QIDQ422135

Ruth M. Charney, Michael S. Farber

Publication date: 16 May 2012

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3378

zbMATH Keywords

hyperbolic groupsgraph productsrandom groupsautomorphisms of Artin groupsright angled Artin groupsright-angled Coxeter groups

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Probabilistic methods in group theory (20P05)

Related Items (17)

Geometry and Combinatorics via Right-Angled Artin Groups ⋮ RAPID DECAY IS PRESERVED BY GRAPH PRODUCTS ⋮ Random graph products of finite groups are rational duality groups ⋮ Quasi-isometric classification of right-angled Artin groups. I: The finite out case ⋮ Commensurability of groups quasi-isometric to RAAGs ⋮ Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups ⋮ A note on virtual duality and automorphism groups of right-angled Artin groups ⋮ Arithmetic quotients of the automorphism group of a right-angled Artin group ⋮ Groups quasi-isometric to right-angled Artin groups ⋮ Generalising some results about right-angled Artin groups to graph products of groups. ⋮ Finiteness of outer automorphism groups of random right-angled Artin groups ⋮ AUTOMORPHISMS OF PARTIALLY COMMUTATIVE GROUPS II: COMBINATORIAL SUBGROUPS ⋮ Trees, homology, and automorphism groups of right-angled Artin groups ⋮ Topics of Stochastic Algebraic Topology ⋮ Virtually fibering random right-angled Coxeter groups -- extended abstract ⋮ Random coxeter groups ⋮ Morse subgroups and boundaries of random right-angled Coxeter groups

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