SAut(Fn) cannot act on small tori
Group Theory
2018-03-30 v1
Abstract
We study smooth actions of SAut(Fn), the unique subgroup of index two in the automorphism group of a free group of rank n, as a part of the generalized 'Zimmer program'. In particular, we show that every action of SAut(Fn) on a low dimensional torus is trivial.
Cite
@article{arxiv.1509.01400,
title = {SAut(Fn) cannot act on small tori},
author = {Olga Varghese},
journal= {arXiv preprint arXiv:1509.01400},
year = {2018}
}
Comments
3 pages. arXiv admin note: text overlap with arXiv:1508.06430