Random graph products of finite groups are rational duality groups

DOI10.1112/jtopol/jtt047zbMath1301.05311arXiv1210.4577OpenAlexW3105962143MaRDI QIDQ2928223

Michael W. Davis, Matthew Kahle

Publication date: 7 November 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4577

zbMATH Keywords

edge-independent random graph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Planar graphs; geometric and topological aspects of graph theory (05C10) Topological methods in group theory (57M07) Graph operations (line graphs, products, etc.) (05C76)

Related Items (2)

Virtually fibering random right-angled Coxeter groups -- extended abstract ⋮ Random coxeter groups

Cites Work

• Unnamed Item
• Random groups arising as graph products.
• The Euler characteristic of a polyhedral product
• Right-angularity, flag complexes, asphericity
• Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products.
• Convex polytopes, Coxeter orbifolds and torus actions
• Cohomology of Coxeter groups with group ring coefficients. II.
• Weighted \(L^2\)-cohomology of Coxeter groups.
• Moment-angle complexes, monomial ideals and Massey products
• Compactly supported cohomology of buildings.
• Topology of random clique complexes
• Homology of certain algebras defined by graphs
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• Spherical subcomplexes of spherical buildings
• The cohomology of a Coxeter group with group ring coefficients
• Sharp vanishing thresholds for cohomology of random flag complexes
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• TOPOLOGY OF RANDOM RIGHT ANGLED ARTIN GROUPS
• THE $\eltwo$-COHOMOLOGY OF ARTIN GROUPS
• The Cohomology of Right-Angled Artin Groups with Group Ring Coefficients

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