Quotient Groups: Homomorphisms and Isomorphisms

Related lectures (32)

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Explores the uniqueness of amalgams in group theory through examples and diagrams.

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

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.

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

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Covers the concept of amalgams, defining pushouts and quotient groups in group theory.

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

Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.

Covers the concept of morphism of groups, actions on sets, and automorphisms.