Permutation

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Permutation

$\begin{usage} import from Permutation~n \end{usage}$

$\begin{params} {\em n} & \htmlref{\texttt{MachineInteger}}{MachineInteger} & The number of elements\\ \end{params}$

$\begin{descr} Permutation(n) implements the group of permutations on $n$\ elements. \end{descr}$

Exports

`CopyableType`
`Group`
`apply`:	(%, `MachineInteger`) $\to$ `MachineInteger`	Image of an element
`mapping`:	% $\to$ (`MachineInteger` $\to$ `MachineInteger`)	Action of a permutation
`sign`:	% $\to$ `MachineInteger`	Sign
`transpose`:	(`MachineInteger`, `MachineInteger`) $\to$ %	Transposition
`transpose!`:	(%, `MachineInteger`, `MachineInteger`) $\to$ %	Compose with a transposition

Subsections

apply
mapping
sign
transpose

Manuel Bronstein 2000-12-13