The Weakly Potency of Certain HNN Extensions of Nilpotent Groups  

作　　者：K.B. Wong P.C. Wong 

机构地区：[1]Institute of Mathematical Sciences, University of Malaya 50603 Kuala Lumpur, Malaysia

出　　处：《Algebra Colloquium》2014年第4期689-696,共8页代数集刊（英文版）

摘　　要：In this paper we give a characterization for certain HNN extensions oi suogroup separable groups with normal associated subgroups to be weakly potent. We then apply our result to show that certain HNN extensions of finitely generated nilpotent groups with central associated subgroups are weakly potent.In this paper we give a characterization for certain HNN extensions oi suogroup separable groups with normal associated subgroups to be weakly potent. We then apply our result to show that certain HNN extensions of finitely generated nilpotent groups with central associated subgroups are weakly potent.

关 键 词：weakly potent HNN extensions subgroup separable finitely generated nilpo-tent groups 

分 类 号：O152.1[理学—数学] TP391.41[理学—基础数学]