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arxiv: 1509.00187 · v1 · pith:JHRNVE42new · submitted 2015-09-01 · 🧮 math.GR

Low dimensional linear representations of SAut(Fn)

classification 🧮 math.GR
keywords grouplinearsautadmitsautomorphismcharacteristicdegreedimensional
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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.

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