群与合成列的数目之间的几个充要条件  

Several sufficient and necessary conditions between groups and the numbers of their composition series

作　　者：徐承波[1] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2005年第2期101-103,共3页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(10371032)资助课题

摘　　要：讨论了循环p-群,初等交换p-群以及所有Sylow子群为循环群的群G与其合成列的数目之间的关系,得到了3个充要条件.Studied the relations between cyclic p-groups,elementary Abel p-groups and the groups all of whose Sylow subgroups are cyclic and the numbers of their composition series,and obtained three sufficient and necessary conditions.

关 键 词：P-群 合成列 FRATTINI子群 SYLOW子群 

分 类 号：O152[理学—数学]