Residual finiteness, subgroup separability and conjugacy separability of certain HNN extensions

Mathematica Slovaca

K. Wong¹  P. Wong¹ 

关键词: HNN extensions;    residually finite;    subgroup separable;    conjugacy separable;    polycyclic-by-finite groups;   

DOI  :  10.2478/s12175-012-0052-7

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this note we shall give characterisations for HNN extensions of non-cyclic polycyclic-by-finite groups with normal infinite cyclic associated subgroups to be residually finite, subgroup separable and conjugacy separable.

【 授权许可】

Unknown