Cayley table

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Cayley table (composition table; operation table) 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.

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