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Finite Quotients of the Automorphism Group of a Free Group

Published online by Cambridge University Press:  20 November 2018

Robert Gilman
Robert Gilman*
Affiliation:
Stevens Institute of Technology, Castle Point Station, Hoboken, New Jersey
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Abstract

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Let G and F be groups. A G-defining subgroup of F is a normal subgroup N of F such that F/N is isomorphic to G. The automorphism group Aut (F) acts on the set of G-defining subgroups of F. If G is finite and F is finitely generated, one obtains a finite permutation representation of Out (F), the outer automorphism group of F. We study these representations in the case that F is a free group.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 3 , 01 June 1977 , pp. 541 - 551
Copyright
Copyright © Canadian Mathematical Society 1977

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