SAut(Fn) cannot act on small tori
classification
🧮 math.GR
keywords
sautgroupactionactionsautomorphismcannotdimensionalevery
read the original 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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