Lectures related to Solvable Groups: Part 1

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

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

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

Introduces torsion and divisibility concepts in abelian groups to describe their structure.

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