The Weakly Potency of Certain HNN Extensions of Nilpotent Groups

• 作者: K.B. Wong P.C. Wong
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: HNN 幂零群 效价 有限生成 子群
• 年，卷（期）: 2014,（4）
• 页码范围: 689-696
• 页数: 8页
• 分类号: O152.1
• 语种: 中文

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.