超可解群的两个充分条件(英文)  

Two Sufficient Conditions for Supersolubility of Finite Groups

作　　者：郝利平[1] 王燕[1] 

机构地区：[1]徐州师范大学数学科学学院,江苏徐州221116

出　　处：《徐州师范大学学报（自然科学版）》2008年第3期14-18,共5页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：the National Natural Science Foundation of China(10771180);the Postgraduate Innovation Fund of Jiangsu Province

摘　　要：设X是群G的非空子集,群G的子群A称为在G中X-s半置换的,如果A在G中存在一个补充T,使得对于T的任意Sylow子群Tp,都存在x∈X满足ATpx=TxpA.利用这个概念给出有限群为超可解的两个新的充分条件.Let X be a non-empty subset of a group G. Then a subgroup A of G is said to be X-s-semipermutable in G if A has a supplement T in G such that for every Sylow subgroup Tp of T, there exists an element .r∈ X to satisfy ATOp = T^xpA. In this paper,two new sufficient conditions for supersolubility of finite groups are given by using this concept.

关 键 词：有限群 X-5半置换子群 超可解群 P超可解群 

分 类 号：O152.1[理学—数学]