关于有限次单群结构的研究  

Research on the structure of finite sub-simple groups

作　　者：张科锋[1] 高茜[1] 

机构地区：[1]南海东软信息技术学院基础部,广东佛山528225

出　　处：《重庆文理学院学报（自然科学版）》2010年第3期12-14,18,共4页Journal of Chongqing University of Arts and Sciences

摘　　要：从群的正规子群的个数入手研究群的结构是一个好的方法.本文研究只有唯一一个非平凡正规子群的有限群,从可解性和非可解性两方面入手,分别指出了满足这两个性质的群的结构和性质,得到了若干结论.这些结论丰富了研究次单群这一领域的成果.本文还提出了内素数方幂阶群,初步研究了它的结构和性质,指出了它和次单群之间的关联.Starting from the number of the normal subgroups to research the structure of groups was a better method.This article discussed the groups with only one non-trivial normal subgroup,then discussed solved sub-simple groups and non-solved sub-simple groups.At last,it was defined that groups all of whose proper subgroups have prime power order,and the relation of this groups and sun-simple groups was pointed out.

关 键 词：特征单群 次单群 内素数方幂群 

分 类 号：O152.1[理学—数学]