Linear Representations of the Automorphism Group of a Free Group

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dc.creatorGrunewald, Fritz
dc.creatorLubotzky, Alexander
dc.date2006-06-08
dc.date.accessioned2026-07-07T07:17:04Z
dc.date.available2026-07-07T07:17:04Z
dc.descriptionLet $F_n$ 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.
dc.identifierhttps://arxiv.org/abs/math/0606182
dc.identifierhttp://arxiv.org/abs/math/0606182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113811
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.titleLinear Representations of the Automorphism Group of a Free Group
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