Lectures related to Permutation of In: Simplified Notation

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores the beautiful properties of the p-Sylow subgroups of a finite group.

Explores sets and subsets in linear algebra, emphasizing counting elements and subsets.

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

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

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.