Lectures related to Symmetric Group and Group Actions

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

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

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

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

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 proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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

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

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

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

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

Explores differentiable ranking and sorting techniques for machine learning applications.

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

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

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

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

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