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arXiv · 1509.01400

SAut(Fn) cannot act on small tori

Olga Varghese
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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.

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Olga Varghese. 2015-09-04. SAut(Fn) cannot act on small tori. https://arxiv.org/abs/1509.01400

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