%0 Journal Article
%T 对称群<i>S</i><sub>4</sub>的极大子群和容许子群<br>The Maximal Subgroups and Meet-Irreducible Subgroups in Symmetry Group <i>S</i><sub>4</sub>
%A 黄潇
%J Advances in Applied Mathematics
%P 3074-3077
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.137292
%X 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<i>S</i><sub>4</sub>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。<br />
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 <i>S</i><sub>4</sub>, providing specific examples for understanding abstract definitions and making positive attempts to enrich the research of this topic.
%K 对称群，极大子群，容许子群<br>Symmetric Group
%K Maximal Subgroup
%K Meet-Irreducible Subgroup
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=91172