Permutations and Symmetric Groups

Related lectures (28)

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

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

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

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

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

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

Explores differentiable ranking and sorting techniques for machine learning applications.

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

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

Explores permutations, signature, and alternating multilinear forms in vectors.