Classification of finite simple groups

Related lectures (30)

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Explores the uniqueness in abelian groups, emphasizing the structure and choices within the groups.

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

Explores the classification theorem for Coxeter groups and the order of F_4.

Covers the classification of finite abelian groups and the unique sequence of positive integers for isomorphism.

Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.

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

Explores abélianization of fundamental groups in commutative spaces with examples and proofs.

Explores representation theory and character theory of finite groups, including scalar product and McKay graph.

Covers commutative groups and their significance in cryptography.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.