Symmetric Group and Group Actions

Related lectures (27)

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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.