Abelian p-groups: Groupes abéliens

Related lectures (30)

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Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Covers technical lemmas on abelian p-groups and maximal order elements.

Delves into group theory, emphasizing the centralizer of elements and the classification of finite abelian groups.

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.