Kramer定理的推广  

EXTENSIONS OF KRAMER'S THEOREM

作　　者：陈重穆[1] 

机构地区：[1]西南师范大学数学系

出　　处：《西南师范大学学报（自然科学版）》1994年第1期1-4,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：证明了下述定理：定理１（ｋｒａｒｎｅｒ定理的推广）设Ｇ为有限可解群，Ｇ／Ｎ为超可解群．如果对某ｋ及Ｇ的每一极大子群Ｌ均有等于１或素数，则Ｇ为超可解群，其中Ｆ＿ｎ（Ｇ）归纳定义如次：定理２设群Ｇ有限可解，为满整群系｛ｆ（ｐ）｝所局部定义的群系。heoren 1 Assume that G is a finite solvable group and G/N is supersolvable.or a prime for some k and each maximal subagoup L of G,then G is supersolvable,whereF_n(G) are defind by induction as following Theorem 2 Assume that G is a finite solvable group,is a formation locally defined by a set of full and integrated formations.If G/N and there exists chief series from Φ(N)toFit(N)of G such that

关 键 词：克雷默定理 超可解群 费廷子群 

分 类 号：O152[理学—数学]