Random groups and nonarchimedean lattices

Sylvain Barre; Mikael Pichot

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arXiv · 1308.2315

Random groups and nonarchimedean lattices

Sylvain Barre·Mikael Pichot

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Abstract

We consider models of random groups in which the typical group is of intermediate rank (in particular, it is not hyperbolic). These models are parallel to M. Gromov's well-known constructions and include for example a "density model" for groups of intermediate rank. The main novelty is the higher rank nature of the random groups. They are randomization of certain families of lattices in algebraic groups (of rank 2) over local fields.

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Sylvain Barre, Mikael Pichot. 2014-09-24. Random groups and nonarchimedean lattices. https://arxiv.org/abs/1308.2315

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