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

Alan D. Logan

doi:10.1016/j.jalgebra.2014.10.017

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

Alan D. Logan

School of Engineering & Physical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	890-901
Number of pages	12
Journal	Journal of Algebra
Volume	423
DOIs	https://doi.org/10.1016/j.jalgebra.2014.10.017
Publication status	Published - 1 Feb 2015

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10.1016/j.jalgebra.2014.10.017

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title = "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.",

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JO - Journal of Algebra

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

Abstract

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