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Every group is an outer automorphism group of a finitely generated group

2005; Elsevier BV; Volume: 200; Issue: 1-2 Linguagem: Inglês

10.1016/j.jpaa.2004.12.033

1873-1376

Inna Bumagin, Daniel T. Wise,

Rings, Modules, and Algebras

We show that every countable group Q is isomorphic to Out ( N ) where N is a finitely generated subgroup of a countable C ′ ( 1 6 ) small-cancellation group G . Furthermore, when Q is finitely presented, we can choose G to be finitely presented and residually finite.