Lectures related to Applications of Lagrange's Theorem

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

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

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

Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.

Introduces group theory basics and group action concepts with associated subsets.

Explores the isomorphism theorems for quotient groups and the concept of surjective homomorphisms.

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.