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.
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
关键词
特征单群
次单群
内素数方幂群
characteristically simple groups
sub-simple groups
minimal non-power of prime number groups
