条件c-次正规与有限群的可解性  

Conditional c-Subnormality and Solvability of Finite Group

作　　者：车杰[1] 曹洪平[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2011年第1期1-5,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771172)

摘　　要：称有限群G的子群H为G的条件c-次正规子群,如果G有正规子群K,使得HK■G,且H∩K≤Hs G.利用极大子群和Hall-子群之间的联系,在满足条件c-次正规时给出了有限群可解的若干条件,并给出了一个群为可解群的若干充分条件.A subgroup H of a group G is said to conditional c-subnormal in G if there exists a normal subgroup K of G such that HK —G with H∩K≤Hs G.With conditional c-subnormal subgroups,some sufficient conditions of solvable group are obtained and some results of related papers are generalized by the use of relations between maximum group and Hall-subgroup in this paper.

关 键 词：条件c-次正规子群 极大子群 Hall-子群 可解群 

分 类 号：O152.1[理学—数学]