Linear representations of random groups
Group Theory
2018-10-04 v1
Abstract
We show that for a fixed k, Gromov random groups with any positive density have no non-trivial degree-k representations over any field, a.a.s. This is especially interesting in light of the results of Agol, Ollivier and Wise that when the density is less than 1/6 such groups have a faithful linear representation over the rationals, a.a.s.
Keywords
Cite
@article{arxiv.1810.01529,
title = {Linear representations of random groups},
author = {Gady Kozma and Alexander Lubotzky},
journal= {arXiv preprint arXiv:1810.01529},
year = {2018}
}
Comments
10 pages