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

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.

22 pages. Final version

References in corpus (4)

• On the outer automorphism groups of finitely generated, residually finite groups
• The Bass-Jiang group for automorphism-induced HNN-extensions
• Higher dimensional Thompson groups have Serre's property FA
• On a question of Bumagin and Wise

Cited by in corpus (2)

• The Bass-Jiang group for automorphism-induced HNN-extensions
• On a question of Bumagin and Wise