Transformations and permutations simply representated as vectors.
Transformations and permutations simply representated as vectors.
(act points t)
Transformation t acting on a set of points.
Transformation t acting on a set of points.
(conjugate t p)
The conjugate of a transformation by direct relabeling according to p.
The conjugate of a transformation by direct relabeling according to p.
(conjugate-by-definition t p)
The conjugate of a transformation by a permutation according to the definition, i.e. multiplying by inverse on the left and p on the right.
The conjugate of a transformation by a permutation according to the definition, i.e. multiplying by inverse on the left and p on the right.
(full-ts-gens n)
Generators of the full transformation semigroup of degree n.
Generators of the full transformation semigroup of degree n.
(inverse t)
Inverse of a bijective transformation.
Inverse of a bijective transformation.
(mul s t)
Right multiplication of transformations represented by vectors.
Right multiplication of transformations represented by vectors.
(pts-gens n)
Generators of the partial transformation semigroup of degree n.
Generators of the partial transformation semigroup of degree n.
(sgp-by-gens gens)
Transformation semigroup by generators.
Transformation semigroup by generators.
(sym-inv-gens n)
Generators of the symmetric inverse monoid of degree n.
Generators of the symmetric inverse monoid of degree n.
(symmetric-gens n)
Generators of the symmetric group of degree n using the embedding into the partitioned binary relation monoid defined by f.
Generators of the symmetric group of degree n using the embedding into the partitioned binary relation monoid defined by f.
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