Article ID Journal Published Year Pages File Type
4584326 Journal of Algebra 2015 11 Pages PDF
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
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