一个关于极大子群的迹的定理
One Theorem on Traces of Maximal Subgroups
DOI: 10.12677/AAM.2023.127336, PDF,   
作者: 朱丽羽：西华师范大学数学与信息学院，四川 南充
关键词: 极大子群；迹；超可解性；可解群；Maximal Subgroup； Trace； Supersolvability； Solvable Group
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。
Abstract: 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.
文章引用：朱丽羽. 一个关于极大子群的迹的定理[J]. 应用数学进展, 2023, 12(7): 3378-3380. https://doi.org/10.12677/AAM.2023.127336

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