Random graph products of finite groups are rational duality groups
Group Theory
2017-05-17 v2 Algebraic Topology
Combinatorics
Geometric Topology
Abstract
Given an edge-independent random graph G(n,p), we determine various facts about the cohomology of graph products of groups for the graph G(n,p). In particular, the random graph product of a sequence of finite groups is a rational duality group with probability tending to 1 as n goes to infinity. This includes random right angled Coxeter groups as a special case.
Keywords
Cite
@article{arxiv.1210.4577,
title = {Random graph products of finite groups are rational duality groups},
author = {Michael W. Davis and Matthew Kahle},
journal= {arXiv preprint arXiv:1210.4577},
year = {2017}
}
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29 pages