Lectures related to First Isomorphism Theorem

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

Explores homomorphisms, isomorphisms, group properties, and their applications through examples and exercises.

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

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

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

Explores a categorical perspective on group quotients, focusing on a specific case.

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Introduces normal subgroups, group quotients, and their applications in group theory.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.