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

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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… Click to show full abstract

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.

Keywords: bass jiang; group automorphism; jiang group; automorphism; induced hnn; automorphism induced

Journal Title: Journal of Algebra
Year Published: 2019

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