The Power Structure of 2-Generator 2-Groups of Class Two

• 来源期刊: 代数集刊（英文版）
• 关键词: nilpotency class two 2-group power structure regularity
• 年，卷（期）: 2002,（3）
• 页码范围: 287-302
• 页数: 16页
• 语种: 英文

摘要

In 1934, Hall introduced regular p-groups. Any regular 2-group is abelian. A regular p-group is power closed, exponent closed, strongly semi-pabelian, and an exact power margin group. The study of these properties and relationships among them constitutes the investigation of the power structure of a p-group. In this paper, we classify 2-generator 2-groups of nilpotency class two according to their power structure.