一个关于极大子群的迹的定理  

One Theorem on Traces of Maximal Subgroups

作　　者：朱丽羽 

机构地区：[1]西华师范大学数学与信息学院,四川 南充

出　　处：《应用数学进展》2023年第7期3378-3380,共3页Advances in Applied Mathematics

摘　　要：众所周知,极大子群的性质与群结构有着紧密的联系。围绕一个迹的一个未解决问题,考虑了极大子群的迹的超可解性质对可解群的影响,得到了关于可解群的一个充分必要条件,为推进上述问题的解决做了积极的尝试。The properties of maximal subgroups are closely related to the structure of groups. Focusing on an unsolved problem of a trace, the influence of the supersolvable property of the trace of a maximal subgroup on the solvable group is considered, and a necessity and sufficiency for the solvable group is obtained, which makes a positive attempt to promote the solution of the above problem.

关 键 词：极大子群 迹 超可解性 可解群 

分 类 号：O15[理学—数学]