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Cayley table


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A tabular means of describing a finite group, first used by the 19th-century mathematician Arthur Cayley. To illustrate, the set{1,−1,i,−i}forms a group under the dyadic operation ° as described by the Cayley table shown in the diagram. The value of -1°i, for example, is -i. The name composition table is usually used when the group operation is composition of functions.

{1,−1,i,−i}

Cayley table.

Subjects: Computing.


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