THE RESIDUAL NILPOTENCY OF HNN-EXTENSIONS WITH BASE GROUP A FINITE OR A FG ABELIAN GROUP

[摘要] In this paper we give a characterization for the residual nilpotence of the HNN-extension G = with base group K a finite or a finitely generated abelian group. The residual nilpotence of G depends on the possibility to embed the base group K into an appropriate overgroup X such that the isomorphism phi comes from an automorphism of X.

[发布日期] 1991-12-16