Lectures related to Second Isomorphism Theorem

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

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

Introduces combinatorial group theory, emphasizing group presentations, normal subgroups, and group quotients.

Explores group homomorphisms, kernels, images, and normal subgroups, using the dihedral group D_n as an example.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

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

Covers powers, multiples, subgroups, and stabilizers in group theory.