Center (group theory)

Related lectures (9)

Covers special cases in group theory, focusing on group actions and functors.

Covers the concepts of torsion and divisibility in group theory.

Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.

Covers properties and notation of the trivial group and discusses the uniqueness of elements.

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

Covers the decomposition of Eisenstein series into orthogonal components and the unitarizability of certain representations.

Explores homomorphisms, isomorphisms, group properties, and their applications through examples and exercises.

Covers the cup product in cohomology, focusing on examples and computations.

Explores weight space decomposition and proves that a connected linear algebraic group with all semi-simple elements must be a torus.

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