Lectures related to Group Theory: Quotients of Group

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

Explores the symmetric group, emphasizing cycle notation and group properties.

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.

Explores group morphisms, kernels, and injectivity in group theory.

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

Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.