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Magma[TransportStructure] - produce an isomorphic copy of a magma
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Calling Sequence
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TransportStructure( dst, src, p )
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Parameters
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dst
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Array; array into which to copy structure from src
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src
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Array; source magma whose Cayley table is to be moved
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p
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permlist; permutation of 1..n to effect the isomorphic copy
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Description
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The TransportStructure( 'dst', 'src', 'p' ) command uses the permutation p to produce an isomorphic copy of the source magma src in the array dst, in such a way that the permutation p is then an isomorphism from src to dst.
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A more convenient, but less efficient interface to this functionality is provided by the IsomorphicCopy command, which allocates storage for the resulting Cayley table automatically.
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Compatibility
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The Magma[TransportStructure] command was introduced in Maple 15.
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Examples
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>
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>
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![m := Matrix([[1, 2, 3], [2, 3, 1], [3, 1, 2]])](/support/helpjp/helpview.aspx?si=8612/file02167/math112.png)
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![p := [2, 1, 3]](/support/helpjp/helpview.aspx?si=8612/file02167/math116.png)
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![p := [2, 1, 3]](/support/helpjp/helpview.aspx?si=8612/file02167/math119.png)
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![m2 := TransportStructure(Array(1 .. 3, 1 .. 3, ':-order' = ':-C_order', ':-datatype' = ':-integer'[4]), m, p)](/support/helpjp/helpview.aspx?si=8612/file02167/math123.png)
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![m2 := Array([[3, 1, 2], [1, 2, 3], [2, 3, 1]])](/support/helpjp/helpview.aspx?si=8612/file02167/math126.png)
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>
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| (4) |
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