Linear representations of random groups

Gady Kozma, Alexander Lubotzky

Source record

Source: Crossref

Published: Dec 1, 2019

DOI: 10.1142/s1664360719500164

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Source abstract

We show that for a fixed [Formula: see text], Gromov random groups with any density [Formula: see text] have no nontrivial degree [Formula: see text] representations over any field, a.a.s. This is especially interesting in light of the results of Agol, Ollivier and Wise that when [Formula: see text] such groups have a faithful linear representation over [Formula: see text], a.a.s.

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