Powerful p-group

Related lectures (11)

Focuses on abelian p-groups, demonstrating technical results for classifying finite abelian groups.

Covers the concepts of torsion and divisibility in group theory.

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

Covers useful lemmas for p-groups, including divisibility properties and the existence of specific elements in finite abelian groups.

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

Covers the proof of the Classification Theorem for finite abelian groups, demonstrating the existence of a decomposition into cyclic groups.

Covers the theory of periodic orbits of Hamiltonian systems and the Conley-Zehnder index.

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

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Covers exact sequences, torsion, divisibility, and operations on abelian groups.

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