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单词 Sylow subgroup
释义

Sylow subgroup

中文百科

西罗定理 Sylow theorems

(重定向自Sylow subgroup)

在数学里,尤其是在群论内,西罗(Sylow)定理(以彼得·卢德维格·梅德尔·西罗来命名,或称西洛定理)为拉格朗日定理的部份相反,拉格朗日定理叙述着若H是一个有限群G的子群,则H的目会整除G的目。西洛定理则保证,对于G之目的某些因数,会有对应此些因数的子群存在着,且会给出有关此类子群之数目的相关消息。

英语百科

Sylow theorems 西罗定理

(重定向自Sylow subgroup)
In D6 all reflections are conjugate, as reflections correspond to Sylow 2-subgroups.
In D12 reflections no longer correspond to Sylow 2-subgroups, and fall into two conjugacy classes.

In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Ludwig Sylow (1872) that give detailed information about the number of subgroups of fixed order that a given finite group contains. The Sylow theorems form a fundamental part of finite group theory and have very important applications in the classification of finite simple groups.

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更新时间:2025/6/21 7:21:27