Permutation Groups
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Functions
- AlternatingGroup
- AlternatingGroupIndex
- CycleIndex
- CycleStructure
- CyclicGroup
- CyclicGroupIndex
- DihedralGroup
- DihedralGroupIndex
- KSubsetGroup
- KSubsetGroupIndex
- MultiplicationTable
- OrbitInventory
- OrbitRepresentatives
- Orbits
- PairGroup
- PairGroupIndex
- PermutationGroupQ
- ReflexiveQ
- SamenessRelation
- SymmetricGroup
- SymmetricGroupIndex
- TransitiveQ
- Related Guides
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-
Functions
- AlternatingGroup
- AlternatingGroupIndex
- CycleIndex
- CycleStructure
- CyclicGroup
- CyclicGroupIndex
- DihedralGroup
- DihedralGroupIndex
- KSubsetGroup
- KSubsetGroupIndex
- MultiplicationTable
- OrbitInventory
- OrbitRepresentatives
- Orbits
- PairGroup
- PairGroupIndex
- PermutationGroupQ
- ReflexiveQ
- SamenessRelation
- SymmetricGroup
- SymmetricGroupIndex
- TransitiveQ
- Related Guides
-
Functions
Permutation Groups
PermutationGroupQ — test if a list of permutations forms a permutation group
MultiplicationTable ▪ SamenessRelation
CyclicGroup — group of circular shift permutations
DihedralGroup — dihedral group
SymmetricGroup ▪ AlternatingGroup ▪ KSubsetGroup ▪ KSubsetGroupIndex
MultiplicationTable — obtain a table of group multiplications
Orbits — find orbits induced by the action of the group
OrbitRepresentatives ▪ OrbitInventory
CycleStructure — compute cycle structure of a permutation
CycleIndex — cycle index of a group of permutations
SymmetricGroupIndex — cycle index of a symmetric group
CyclicGroupIndex ▪ DihedralGroupIndex ▪ AlternatingGroupIndex