KnowraSymmetric groupLinked fromLinked fromThe 20 pages that link to Symmetric group, each with the reason it gives.All 20Broader topic 7Related 8Narrower topic 2Compared with 3Configuration spaceRelated: Its action on product coordinates turns labeled configurations into unlabeled ones.Quotient groupRelated: Quotients of permutation groups encode symmetries after a normal subgroup is collapsed.Orbit-stabilizer theoremRelated: Its natural action on points illustrates how orbit size depends on the stabilizer.Alternating groupRelated: Aₙ is the index-two subgroup of Sₙ formed by even permutations.Permutation matrixRelated: Permutation matrices of a fixed size represent the elements of this group.Abel–Ruffini theoremRelated: The generic degree-five polynomial has the nonsolvable symmetric group S₅ as its Galois group.Young tableauRelated: Its irreducible representations are indexed by partitions and modeled using tableaux.Algebraic combinatoricsRelated: Its representations organize the symmetries and statistics of many combinatorial objects.