Sylow theorems

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Sylow theorems

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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