Random graph products of finite groups are rational duality groups

Michael W. Davis; Matthew Kahle

doi:10.1112/jtopol/jtt047

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arXiv · 1210.4577

Random graph products of finite groups are rational duality groups

Michael W. Davis·Matthew Kahle

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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.

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BibTeX RIS

Michael W. Davis, Matthew Kahle. 2012-10-16. Random graph products of finite groups are rational duality groups. https://doi.org/10.1112/jtopol%2Fjtt047

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