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8: Group Theory Algorithms
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Core Algorithms
Compute the Multiplication Table of a Group
Table of all multiplications of pairs of elements in a group. The group is commutative if the table is symmetric
In[1]:=
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TableForm[GroupMultiplicationTable[SymmetricGroup[3]], TableHeadings -> Automatic]
Out[1]//TableForm=
In[2]:=
X
GroupMultiplicationTable[SymmetricGroup[5]] // ArrayPlot
Out[2]=