GroupMultiplicationTable

Tersedia

Multiplication table as element indices in GroupElements order

Bentuk

GroupMultiplicationTable[group]

Contoh terverifikasiGroupMultiplicationTable[PermutationGroup[{}]] → {{1}}GroupMultiplicationTable[DihedralGroup[4]] // MatrixForm → MatrixForm[{{1, 2, 3, 4, 5, 6, 7, 8}, {2, 1, 4, 3, 6, 5, 8, 7}, {3, 7, 1, 5, 4, 8, 2, 6}, {4, 8, 2, 6, 3, 7, 1, 5}, {5, 6, 7, 8, 1, 2, 3, 4}, {6, 5, 8, 7, 2, 1, 4, 3}, {7, 3, 5, 1, 8, 4, 6, 2}, {8, 4, 6, 2, 7, 3, 5, 1}}]MatrixForm[tableS3 = GroupMultiplicationTable[SymmetricGroup[3]]] → MatrixForm[{{1, 2, 3, 4, 5, 6}, {2, 1, 4, 3, 6, 5}, {3, 5, 1, 6, 2, 4}, {4, 6, 2, 5, 1, 3}, {5, 3, 6, 1, 4, 2}, {6, 4, 5, 2, 3, 1}}]

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Topik

Group Theory - Description of a Group
New In80 Alphabetical Listing - G
New In80 Mathematics And Algorithms - New Group Theory Capabilities »

Terkait

GroupElements GroupElementPosition Cycles PermutationGroup PermutationProduct GroupGenerators GroupElementQ GroupOrbits GroupOrder GroupStabilizer CyclicGroup DihedralGroup

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