On the outer automorphism groups of finitely generated, residually finite groups

Abstract

Bumagin-Wise posed the question of whether every countable group can be realised as the outer automorphism group of a finitely generated, residually finite group. We give a partial answer to this problem for recursively presentable groups.

13 pages. Final version

References in corpus (2)

• The triviality problem for profinite completions
• The isomorphism problem for profinite completions of residually finite groups

Cited by in corpus (1)

• The Bass-Jiang group for automorphism-induced HNN-extensions