Lectures related to Symmetric Group and Alternating Group

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

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

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.

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

Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.

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

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

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

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

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

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

Introduces normal subgroups, group quotients, and their applications in group theory.

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

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

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Explores differentiable ranking and sorting techniques for machine learning applications.

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

Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.