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

Logan, A. D. (2015) On the outer automorphism groups of finitely generated, residually finite groups. Journal of Algebra, 423, pp. 890-901. (doi: 10.1016/j.jalgebra.2014.10.017)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Logan, Dr Alan
Authors: Logan, A. D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Algebra
Publisher:Elsevier
ISSN:0021-8693
ISSN (Online):1090-266X
Published Online:17 November 2014
Copyright Holders:Copyright © 2016 Elsevier
First Published:First published in Journal of Algebra 423:890-901
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
518721Engineering and Physical Sciences Doctoral Training Grant 2009-13Mary GoodmanEngineering & Physical Sciences Research Council (EPSRC)EP/P504937/1VICE PRINCIPAL RESEARCH & ENTERPRISE