Linear Representations of the Automorphism Group of a Free Group

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Let $F_n$ be the free group on $n\ge 2$ elements and $\A(F_n)$ its group of automorphisms. In this paper we present a rich collection of linear representations of $\A(F_n)$ arising through the action of finite index subgroups of it on relation modules of finite quotient groups of $F_n$. We show (under certain conditions) that the images of our representations are arithmetic groups.

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Group Theory, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/113811

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606182
 http://arxiv.org/abs/math/0606182

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arXiv