弱C-正规子群与有限群的可解性  

Weakly c-normal Subgroup of Finite Group and Solvability

作　　者：刘熠[1] 

机构地区：[1]内江师范学院数学系

出　　处：《内江师范学院学报》2006年第2期24-26,共3页Journal of Neijiang Normal University

摘　　要：首先利用H a ll子群的弱c-正规性,得到了有限群π-可解得一个充分条件,并推广了S chur-Z assenhaus定理;其次利用子群的弱c-正规性得到了有限群G可解的一些充分条件和非单位正规子群可解的一个充要条件.A sufficient condition for finite group to be-solvable under the condition of weakly c-normality of Hall subgroups is given, and Schur-gassenhaus theorem is generalized; Some sufficient conditions are obtained for finite groups to be solvable and a necessary and sufficient condition of nonidentity normal subgroup is obtained under the condition of weakly c-normality of subgroups.

关 键 词：有限群 弱c-正规子群Hall π-子群 可解群 Π-可解群 

分 类 号：O152[理学—数学]