Linear Representations of the Automorphism Group of a Free Group
Abstract
Let Fn be the free group on n 2 elements and (Fn) its group of automorphisms. In this paper we present a rich collection of linear representations of (Fn) arising through the action of finite index subgroups of it on relation modules of finite quotient groups of Fn. We show (under certain conditions) that the images of our representations are arithmetic groups.
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