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arxiv: 1509.01847 · v6 · pith:5ZVPOU53new · submitted 2015-09-06 · 🧮 math.GR

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

classification 🧮 math.GR
keywords groupsautomorphismautomorphism-inducedframeworkgrouphnn-extensionsouterapply
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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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