Sylow theorems
- 西罗定理(西罗定理是关于有限群中固定阶子群数目的定理总称,对有限群论和有限单群分类有重要应用,假设了拉格朗日定理部分反面的情况)
Sylow theorems
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abstract:
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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