一类p^nm阶群的构造  

STRUCTURE OF A KIND OF GROUPS OF ORDER p^nm

作　　者：马丽杰[1] 黄本文[2,3] 

机构地区：[1]武汉大学东湖分校高等数学教研室,湖北武汉430212 [2]武汉大学数学与统计学院,湖北武汉430072 [3]武汉科技大学中南分校,湖北武汉430223

出　　处：《数学杂志》2010年第4期671-674,共4页Journal of Mathematics

摘　　要：本文研究了一类特殊的p^nm阶有限群的构造.利用求解数论同余方程的方法和群的扩张理论,得到了具有m阶循环正规子群,其补子群为循环群的p^nm阶有限群的构造及相关的计数定理.The aim of this article is to investigate the structure of finite groups of order p^nm.By using some theorems in extension of groups based on the number theory and group theory,we obtain the structure of a finite group of order p^nm,which has a cyclic normal subgroup of order m whose supplementary subgroup is cyclic.

关 键 词：群构造 循环群 补子群 

分 类 号：O152.1[理学—数学]