Group Theory: Active Learning Session

Related lectures (29)

Page 1 of 3

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

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

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

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

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

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.