超可解群的若干充分条件  

Some Sufficient Conditions for Supersolvability of Finite Groups

作　　者：李世荣[1] 卢家宽[1] 孟伟[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西科学》2006年第4期241-244,共4页Guangxi Sciences

基　　金：广西自然科学基金项目(编号:0249001)资助。

摘　　要：把子群的S-拟正规和C-正规结合起来,证明:若群G的每个Sy low子群的极大子群均在G中S-拟正规或C-正规,则G超可解.并结合S-拟正规和C-正规的概念得到有限群超可解的若干充分条件,其中一些充分条件推广了相关文献报道的结果.In combination of the concepts of S-qu＇asinormal subgroup and C-normal subgroup, it is showed that G is Supersolvable if the maximal subgroup of each Sylow subgroup of G is S- quasinormal or C-normal in G. Some sufficient conditions are obtained for finite groups to be Supersolvable. Some previously known results are generalized.

关 键 词：有限群 超可解 S-拟正规 C-正规 

分 类 号：O152.1[理学—数学]