KnowraPermutation groupLinked fromLinked fromThe 21 pages that link to Permutation group, each with the reason it gives.All 21Broader topic 1Related 11Narrower topic 8Compared with 1Évariste GaloisNarrower topic: Galois used groups of root permutations to encode equations' symmetries.Symmetric groupNarrower topic: Every symmetric group is the full permutation group on its underlying set.Alternating groupNarrower topic: Aₙ is a permutation group consisting of exactly the even permutations.Graph automorphismNarrower topic: Graph automorphisms are precisely the permutations that also preserve the graph’s structure.Pólya enumeration theoremNarrower topic: The symmetries being counted form a permutation group on the configuration’s positions.Rubik's CubeNarrower topic: Legal turns form permutations of the cube’s movable pieces.SpeedcubingNarrower topic: Cube turns form a group, providing the algebraic structure behind legal configurations.Cheryl PraegerNarrower topic: This is the algebraic object at the heart of much of Praeger's research.