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Magma[IsQuasigroup] - test whether a finite magma is a quasigroup
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Calling Sequence
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IsQuasigroup( m )
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Parameters
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m
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Array representing the Cayley table of a finite magma
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Description
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A quasigroup is a magma whose Cayley table is a Latin square. That is, each row and column is a permutation of the integers from 1 to n, where n is the order of the magma.
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The IsQuasigroup command returns true if the given magma is a quasigroup, and returns false otherwise.
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Compatibility
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The Magma[IsQuasigroup] command was introduced in Maple 15.
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Examples
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![m := Matrix([[1, 2, 3], [2, 3, 1], [3, 1, 2]])](/support/helpjp/helpview.aspx?si=8589/file02140/math71.png)
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![m := Matrix([[1, 2, 3], [2, 3, 3], [3, 1, 2]])](/support/helpjp/helpview.aspx?si=8589/file02140/math85.png)
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