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.

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.

$\mathrm{with}\left(\mathrm{Magma}\right)\:$

$m≔⟨⟨⟨1\left|2\right|3⟩\,⟨2\left|3\right|1⟩\,⟨3\left|1\right|2⟩⟩⟩$

$m≔\left[\begin{array}{ccc}1& 2& 3\\ 2& 3& 1\\ 3& 1& 2\end{array}\right]$

$p≔\left[2\,1\,3\right]$

$p≔\left[2\,1\,3\right]$

$\mathrm{m2}≔\mathrm{TransportStructure}\left(\mathrm{Array}\left(1..3\,1..3\,':-\mathrm{order}'=':-\mathrm{C\_order}'\,':-\mathrm{datatype}'=':-\mathrm{integer}'\left[4\right]\right)\,m\,p\right)$

$\mathrm{m2}≔\left[\begin{array}{ccc}3& 1& 2\\ 1& 2& 3\\ 2& 3& 1\end{array}\right]$

$\mathrm{AreIsomorphic}\left(m\,\mathrm{m2}\right)$

$\mathrm{true}$

The Magma[TransportStructure] command was introduced in Maple 15.

For more information on Maple 15 changes, see Updates in Maple 15.