Fundamental theorem on homomorphisms

Related lectures (31)

Page 2 of 4

Covers the first isomorphism theorem in group theory and its applications.

Explores two definitions of group action and their equivalence through bijection in group homomorphisms.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers the construction and universal properties of pushouts in group theory.

Focuses on the Seifert van Kampen theorem, demonstrating an isomorphism between fundamental groups using a three-dimensional diagram.

Explores the categorical framework for group actions, focusing on the concept of G-objects in different categories.

Explores isometries, group homomorphisms, linear transformations, and group generation by similarities.

Explores group homomorphisms, isomorphisms, and generators in abstract algebra.

Explores abelianization examples, homomorphisms, and isomorphisms in group theory.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.