The weak potency of certain HNN extensions of subgroup separable groups

P.C. WONG  and  K.B. WONG

Research Report No. 2/2004

Abstract

In this note we give a characterization for certain HNN extensions of subgroup separable groups with normal associated subgroups to be weakly potent. We then apply our result to show that certain HNN extensions of finite extensions of finitely generated nilpotent groups with central associated subgroups are weakly potent.