Low dimensional linear representations of SAut(Fn)
Group Theory
2018-03-30 v1
Abstract
We prove that SAut(Fn), the unique subgroup of index two in the automorphism group of a free group of rank n, admits no non-trivial linear representation of degree d<n for any field of characteristic not equal to two.
Cite
@article{arxiv.1509.00187,
title = {Low dimensional linear representations of SAut(Fn)},
author = {Olga Varghese},
journal= {arXiv preprint arXiv:1509.00187},
year = {2018}
}