SAut(Fn) cannot act on small tori
arXiv:1509.01400
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.
arXiv comment3 pages. arXiv admin note: text overlap with arXiv:1508.06430