Lectures related to Subgroups and Cosets: Lagrange's Theorem

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

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

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

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

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

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

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