Finite Quotients of the Automorphism Group of a Free Group
Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 541-551

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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.
Gilman, Robert. Finite Quotients of the Automorphism Group of a Free Group. Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 541-551. doi: 10.4153/CJM-1977-056-3
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