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Concept

Permutation group

Related lectures (27)

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers permutations and combinations with and without repetition, including examples with letters, fruits, bills, and equations.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Covers permutation, combination, and the pigeonhole principle in counting problems.

Covers the concepts of combinations and permutations in counting scenarios.

Explores creating dashboards in ServiceNow, focusing on advantages, transition from homepages, and important concepts like tasks and incidents.

Covers the concept of enumeration and counting subsets of a finite set with examples and factorial notation.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores the reasons behind the abundance of saddle points in deep learning optimization, emphasizing statistical and geometric arguments.

Explores the algebraic properties of the cross product and its linearity.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Explores the motivations for studying actions through the universal action of bijections.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

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

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

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