{ "id": "1412.5358", "version": "v1", "published": "2014-12-17T12:17:26.000Z", "updated": "2014-12-17T12:17:26.000Z", "title": "On the outer automorphism groups of finitely generated, residually finite groups", "authors": [ "Alan D. Logan" ], "comment": "13 pages. Final version", "journal": "Journal of Algebra 423 (2015): 890-901", "categories": [ "math.GR" ], "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.", "revisions": [ { "version": "v1", "updated": "2014-12-17T12:17:26.000Z" } ], "analyses": { "subjects": [ "20F28", "20E99" ], "keywords": [ "outer automorphism group", "residually finite group", "partial answer", "countable group" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.5358L" } } }