MathObj.Permutation.Table

Permutation represented by an array of the images.

Documentation

type T i = Array i i

fromFunction :: Ix i => (i, i) -> (i -> i) -> T i

toFunction :: Ix i => T i -> i -> i

fromPermutation :: (Ix i, C p) => p i -> T i

fromCycles :: Ix i => (i, i) -> [[i]] -> T i

identity :: Ix i => (i, i) -> T i

cycle :: Ix i => [i] -> T i -> T i

inverse :: Ix i => T i -> T i

compose :: Ix i => T i -> T i -> T i

choose :: Set a -> Maybe (a, Set a)

Extremely naïve algorithm to generate a list of all elements in a group. Should be replaced by a Schreier-Sims system if this code is ever used for anything bigger than .. say .. groups of order 512 or so.

closure :: Ix i => [T i] -> [T i]

closureSlow :: Ix i => [T i] -> [T i]