摘要
设G是群,H≤G称H为G的弱c-正规子群,如果存在G的次正规子群K使得G=HK,且H∩K≤(H)G,(H)G为包含在H中的G的最大正规子群。文章讨论了弱c-正规子群的性质,并利用其性质给出一个群为π-闭群和可解群的若干充分条件。
A subgroup H of a finite group G is said to be weakly c-normal in G if there is a sub-normal subgroup K of G is existed such that G = HK and H∩K ≤ （H）G , where （H） G is the largest normal subgroup of G which is contained in H. By discussing weak c-normal subgroup, some sufficient conditions for a finite group to be π -close and solvable are obtained.
出处
《四川理工学院学报（自然科学版）》
CAS
2009年第3期21-22,共2页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
四川理工学院研究生科研启动金资助项目(2160104)
