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

作　　者：黄潇 

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》2024年第7期3074-3077,共4页Advances in Applied Mathematics

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。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.

关 键 词：对称群 极大子群 容许子群 

分 类 号：O15[理学—数学]