TOPOLOGY OF RANDOM RIGHT ANGLED ARTIN GROUPS

DOI10.1142/S1793525311000490zbMath1218.57001arXiv0909.0887OpenAlexW2962831460MaRDI QIDQ3168761

A. E. Costa, Michael S. Farber

Publication date: 19 April 2011

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

Full work available at URL: https://arxiv.org/abs/0909.0887

zbMATH Keywords

cliquetopological complexityrandom groupright angled Artin groupbi-clique

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Classical topics in algebraic topology (55M99)

Related Items (7)

RAPID DECAY IS PRESERVED BY GRAPH PRODUCTS ⋮ Random graph products of finite groups are rational duality groups ⋮ Random groups arising as graph products. ⋮ Generalising some results about right-angled Artin groups to graph products of groups. ⋮ Finiteness of outer automorphism groups of random right-angled Artin groups ⋮ Topics of Stochastic Algebraic Topology ⋮ Pairwise disjoint maximal cliques in random graphs and sequential motion planning on random right angled Artin groups

Cites Work

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• Motion planning in tori
• Homological connectivity of random k -dimensional complexes
• Cliques in random graphs

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