Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584326 | Journal of Algebra | 2015 | 11 Pages |
Abstract
We show that, for any integers γ,βγ,β, class-preserving automorphisms of the HNN extension 〈B,t:t−1hγt=hβ〉〈B,t:t−1hγt=hβ〉 of a finitely generated nilpotent or free group B are all inner. It follows from Grossman's result that outer automorphism groups of such conjugacy separable HNN extensions are residually finite.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wei Zhou, Goansu Kim,