Lectures related to Symmetric Group and Cycle Decomposition

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

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

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

Covers the concepts of combinations and permutations in counting scenarios.

Explores active learning implications in understanding group structures and symmetric actions.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.