有限群的一些充要条件(英文)  

Some Necessary and Sufficient Conditions of Finite Groups

作　　者：兰春霞[1] 

机构地区：[1]浙江丽水学院数学系 浙江丽水323000

出　　处：《青岛大学学报（自然科学版）》2005年第2期53-56,共4页Journal of Qingdao University(Natural Science Edition)

摘　　要：在文献[1]中,奇数阶QCLT-群和满足置换条件奇阶群的超可解性已经被证明,但对偶数阶的还没有解决。本文定义并利用弱拟正规的概念解决了偶数阶QCLT-群和满足置换条件的超可解性,并且还利用它描述了可解群,CLT-群和X-群等。In[1], QCLTgroup with odd order or the odd groups satisfying permute condition are all super solvable, which have been proved, but not yet for the even groups. In this paper, a new conception, weakly quasi normal is defined. Thus we prove that QCLTgroup with even order and even groups satisfying permute condition are super solvable, and by using the conception of weakly quasi normal, we have also depicted solvable group, CLTgroup and Xgroup etc.

关 键 词：QCLT-群 可解群 CLT-群. 

分 类 号：TB383[一般工业技术—材料科学与工程]