对称群S4的极大子群和容许子群
The Maximal Subgroups and Meet-Irreducible Subgroups in Symmetry Group S4
DOI: 10.12677/aam.2024.137292, PDF,    科研立项经费支持
作者: 黄 潇：西华师范大学数学与信息学院，四川 南充
关键词: 对称群；极大子群；容许子群；Symmetric Group； Maximal Subgroup； Meet-Irreducible Subgroup
摘要: 基于极大子群与容许子群的概念，从具体的群出发，本文确定了4次对称群S4的所有极大子群、容许子群以及个数，为理解抽象的定义提供了具体的例子，也为丰富该课题的研究做了积极的尝试。
Abstract: Based on the concept of the maximal subgroups and meet-irreducible subgroups, starting from specific groups, this paper determines all maximal subgroups, meet-irreducible subgroups and their number in the quartic symmetric group S4, providing specific examples for understanding abstract definitions and making positive attempts to enrich the research of this topic.
文章引用：黄潇. 对称群S4的极大子群和容许子群[J]. 应用数学进展, 2024, 13(7): 3074-3077. https://doi.org/10.12677/aam.2024.137292

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