Concept

Symmetric group

Related lectures (31)

Explores essential chief series in tdlc groups, focusing on closed, normal subgroups and their chief factors.

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

Explores non-perturbative energy splitting in symmetric potentials using saddle points and the twisted partition function.

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

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

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

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

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

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

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

Explores differentiable ranking and sorting techniques for machine learning applications.

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

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

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.

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

Covers examples of symmetric matrices and their properties, including eigenvectors and eigenvalues.

Covers general elliptic equations, including Dirichlet problems and boundary conditions.

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