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arXiv · 1411.1506

Coxeter groups and random groups

Danny Calegari
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Abstract

For every dimension d, there is an infinite family of convex co-compact reflection groups of isometries of hyperbolic d-space --- the superideal (simplicial and cubical) reflection groups --- with the property that a random group at any density less than a half (or in the few relators model) contains quasiconvex subgroups commensurable with some member of the family, with overwhelming probability.

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Danny Calegari. 2015-04-04. Coxeter groups and random groups. https://arxiv.org/abs/1411.1506

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