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Magma[IsGroup] - test whether a finite magma is a group
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Calling Sequence
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IsGroup( 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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The IsGroup command returns true if the given magma is a group, and returns false otherwise.
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A group is an associative magma with an identity element, with respect to which identity each member has a (two-sided) inverse. Alternatively, a group is an associative loop.
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Compatibility
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The Magma[IsGroup] 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=8570/file02120/math71.png)
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![m := Matrix([[1, 2, 3], [2, 3, 3], [3, 1, 2]])](/support/helpjp/helpview.aspx?si=8570/file02120/math85.png)
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