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gap> ps := HermitianPolarSpace(3,4^2);
H(3, 4^2)
gap> p := Random(Points(ps));
<a point in H(3, 4^2)>
gap> plane := TangentSpace(p);
<a plane in ProjectiveSpace(3, 16)>
gap> TypeOfSubspace(ps,plane);
"degenerate"
gap> ps := ParabolicQuadric(6,4);
Q(6, 4)
gap> p := VectorSpaceToElement(PG(6,4),[0,1,0,0,0,0,0]*Z(4)^0);
<a point in ProjectiveSpace(6, 4)>
gap> hyp := TangentSpace(ps,p);
<a proj. 5-space in ProjectiveSpace(6, 4)>
gap> NucleusOfParabolicQuadric(ps) in hyp;
true
gap> ps := EllipticQuadric(5,2);
Q-(5, 2)
gap> line := Random(Lines(ps));
<a line in Q-(5, 2)>
gap> TangentSpace(line);
<a solid in ProjectiveSpace(5, 2)>
gap> ps := HermitianPolarSpace(5,4);
H(5, 2^2)
gap> plane := Random(Planes(ps));
<a plane in H(5, 2^2)>
gap> tan := TangentSpace(plane);
<a plane in ProjectiveSpace(5, 4)>
gap> tan in ps;
true
gap> tan = plane;
true
[ Dauer der Verarbeitung: 0.16 Sekunden
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