On a question of Bumagin and Wise

Alan D. Logan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise nonisomorphic finitely generated, non-recursively-presentable groups. These are the first examples of such residually finite groups.

Original languageEnglish
Pages (from-to)865-873
Number of pages9
JournalNew York Journal of Mathematics
Publication statusPublished - 2016


  • Outer automorphism groups
  • Recursive presentability
  • Residually finite groups


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