Direct product

Related lectures (31)

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Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

Covers the concept of eigenfunctions of H as bases for irreducible representations and integrals.

Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.

Explores direct products in group theory, including semi-direct products and group properties.

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.

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

Introduces essential properties of Cartesian products and disjoint unions in the theory of groups and categories.

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.

Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.