Conjugacy separability of certain HNN extensions with normal associated subgroups

Abstract

In this paper, we will give necessary and sufficient conditions for certain HNNextensions of subgroup separable groups with normal associated subgroup to be conjugacyseparable. In fact, we will show that these HNN extensions are conjugacy separable if and onlyif the normalizer of one of its associated subgroup is conjugacy separable.

Keywords

• Residual properties
• Conjugacy separability
• HNN extensions