Lectures related to Symmetric Group and Cycle Decomposition

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

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

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

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

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Covers the definition of a group, properties of symmetries, and group operations.

Explores differentiable ranking and sorting techniques for machine learning applications.

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

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

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

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

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

Covers alternating and symmetric multilinear forms in vector spaces over a field.

Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Covers the concept of enumeration and counting subsets of a finite set with examples and factorial notation.