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

Alan D. Logan

doi:10.1016/j.jalgebra.2018.10.014

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

Alan D. Logan

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Abstract

We use the Bass–Jiang group for automorphism-induced HNN-extensions to build a framework for the construction of tractable groups with pathological outer automorphism groups. We apply this framework to a strong form of a question of Bumagin–Wise on the outer automorphism groups of finitely presented, residually finite groups.

Original language	English
Pages (from-to)	177-197
Number of pages	21
Journal	Journal of Algebra
Volume	518
Early online date	22 Oct 2018
DOIs	https://doi.org/10.1016/j.jalgebra.2018.10.014
Publication status	Published - 15 Jan 2019

Keywords

Bass–Serre theory
HNN-extensions
Outer automorphism groups
Residually finite groups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2018.10.014

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abstract = "We use the Bass–Jiang group for automorphism-induced HNN-extensions to build a framework for the construction of tractable groups with pathological outer automorphism groups. We apply this framework to a strong form of a question of Bumagin–Wise on the outer automorphism groups of finitely presented, residually finite groups.",

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AB - We use the Bass–Jiang group for automorphism-induced HNN-extensions to build a framework for the construction of tractable groups with pathological outer automorphism groups. We apply this framework to a strong form of a question of Bumagin–Wise on the outer automorphism groups of finitely presented, residually finite groups.

KW - Bass–Serre theory

KW - HNN-extensions

KW - Outer automorphism groups

KW - Residually finite groups

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DO - 10.1016/j.jalgebra.2018.10.014

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SP - 177

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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