English

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

Group Theory 2018-10-25 v1

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.

Keywords

Cite

@article{arxiv.1412.5358,
  title  = {On the outer automorphism groups of finitely generated, residually finite groups},
  author = {Alan D. Logan},
  journal= {arXiv preprint arXiv:1412.5358},
  year   = {2018}
}

Comments

13 pages. Final version