SymmetricGroup

Available

represents the symmetric group `S_n` of degree `n`.

Forms

SymmetricGroup[n]

Verified examplesSymmetricGroup[3] → SymmetricGroup[3]GroupOrder[SymmetricGroup[4]] → 24 GroupGenerators[SymmetricGroup[4]] → {Cycles[{{1, 2}}], Cycles[{{1, 2, 3, 4}}]}

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Topics

Group Theory - Named Groups »
Named Groups - Parametrized Infinite Families
New In80 Alphabetical Listing - S
New In80 Mathematics And Algorithms - New Group Theory Capabilities »

Related

AlternatingGroup CyclicGroup PermutationGroup Cycles DihedralGroup AbelianGroup MathieuGroupM24 GroupElementQ GroupElements GroupGenerators GroupMultiplicationTable GroupOrbits

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