Permutations »

Permutations — list permutations of a set of integers

SignaturePermutation — sign or parity of a permutation

InversePermutation — apply an inverse permutation

DistinctPermutations  ▪  IdentityPermutation

NextPermutation  ▪  RankPermutation  ▪  RandomPermutation  ▪  ...

Inversions — number of inversions

Index — index of a permutation

PermutationGraph — graph for a permutation

DurfeeSquare  ▪  EncroachingListSet

PermutationType  ▪  Runs  ▪  Eulerian  ▪  ...

Permutation Groups »

CyclicGroup — group of circular shift permutations

Orbits — orbits induced by the action of the group

CycleIndex — cycle index of a group of permutations

DihedralGroup  ▪  OrbitRepresentatives  ▪  ...

Subsets and Cycles »

Strings — subsets with repeating elements

BinarySubsets — enumerate subsets

KSubsets — subsets with elements

NextBinarySubset  ▪  RankBinarySubset

LexicographicSubsets  ▪  RandomSubset  ▪  ...

ToCycles — find cycles for a permutation

HideCycles — represent the cycle in canonical form

FromCycles  ▪  PermutationWithCycle  ▪  ...