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BUILT-IN MATHEMATICA SYMBOL
GroupMultiplicationTable
GroupMultiplicationTable[group]
gives the multiplication table of group as an array.
Details
- For a group of order n, GroupMultiplicationTable returns an
matrix mat of integers such that element 
gives the result of the multiplication of elements i and j in the group. Positions i, j, and 
are computed with the function GroupElementPosition.
Examplesopen all
Basic Examples (1)
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These are the multiplications of all pairs of elements, numbered as returned by GroupElementPosition:
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Generate all eight permutations of the group:
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The product of permutations 5 and 2 is permutation 7 in the list:
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New in 8
