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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, PP. 3074-3077

Keywords: 对称群,极大子群,容许子群
Symmetric Group
, Maximal Subgroup, Meet-Irreducible Subgroup

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Abstract:

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.

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