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

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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.

Original languageEnglish
Pages (from-to)177-197
Number of pages21
JournalJournal of Algebra
Early online date22 Oct 2018
Publication statusPublished - 15 Jan 2019


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

ASJC Scopus subject areas

  • Algebra and Number Theory


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