Lectures related to Symmetric Group and Group Actions

Explores the algebraic properties of the cross product and its linearity.

Introduces Cartesian product and induction for proofs using integers and sets.

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

Explores the special linear group, matrix properties, and determinant theorems.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores permutations, signature, and alternating multilinear forms in vectors.