- newtype Permutation a = P (Map a a)
- (.^) :: Ord k => k -> Permutation k -> k
- p :: Ord a => [[a]] -> Permutation a
- (^-) :: (Ord k, Show k) => Permutation k -> Int -> Permutation k
- (-^) :: Ord t => [t] -> Permutation t -> [t]
- elts :: (Num a, Ord a) => [a] -> [a]
Documentation
newtype Permutation a Source
Type for permutations, considered as group elements.
Eq a => Eq (Permutation a) | |
(Ord a, Show a) => Fractional (Permutation a) | |
(Ord a, Show a) => Num (Permutation a) | |
Ord a => Ord (Permutation a) | |
(Ord a, Show a) => Show (Permutation a) |
(.^) :: Ord k => k -> Permutation k -> kSource
x .^ g returns the image of a vertex or point x under the action of the permutation g
p :: Ord a => [[a]] -> Permutation aSource
Construct a permutation from a list of cycles
(^-) :: (Ord k, Show k) => Permutation k -> Int -> Permutation kSource
A trick: g^-1 returns the inverse of g
(-^) :: Ord t => [t] -> Permutation t -> [t]Source
b -^ g returns the image of an edge or block b under the action of g