Spracherkennung für: .include vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
gap> pg := PG(
2,
3);
ProjectiveSpace(
2,
3)
gap> conic := Set(Points(ParabolicQuadric(
2,
3)));;
gap> coll := CollineationGroup(pg);
The FinInG collineation group PGL(
3,
3)
gap> orb := Orbit(coll,conic,OnSetsProjSubspaces);;
gap> Length(orb);
234
gap> hom := ActionHomomorphism(coll,orb,OnSetsProjSubspaces);
<action homomorphism>
gap> perm := Image(hom);
<permutation group with
2 generators>
gap> Order(perm);
5616
gap> NrMovedPoints(perm);
234
gap> ps := SymplecticSpace(
5,
2);
W(
5,
2)
gap> coll := CollineationGroup(ps);
PGammaSp(
6,
2)
gap> perm := Action(coll,Lines(ps),OnProjSubspaces);
<permutation group with
4 generators>
gap> NrMovedPoints(perm);
315
