Quelle  stab_orbs_behaviour2.include  Sprache: unbekannt

gap>; ps := HermitianPolarSpace(3,81);
H(3, 9^2)
gap>; group := CollineationGroup(ps);
PGammaU(4,9^2)
gap>; time;
2219
gap>; g := Random(group);
<; a collineation: <cmat 4x4 over GF(3,4)>, F^27>
gap>; h := Random(group);
<; a collineation: <cmat 4x4 over GF(3,4)>, F^3>
gap>; group2 := Group([g,h]);
<;projective collineation group with 2 generators>
gap>; HasNiceMonomorphism(group2);
false
gap>; Order(group2);
407194345728000
gap>; time;
371559
gap>; HasNiceMonomorphism(group2);
true
gap>; NrMovedPoints(NiceObject(group2));
538084
gap>; Size(Points(PG(3,81)));
538084
gap>; group2 := Group([g,h]);
<;projective collineation group with 2 generators>
gap>; SetParent(group2,group);
gap>; HasNiceMonomorphism(group2);
true
gap>; HasNiceObject(group2);
false
gap>; Order(group2);
407194345728000
gap>; time;
888
gap>; HasNiceObject(group2);
true
gap>; NrMovedPoints(NiceObject(group2));
7300
gap>; Size(Lines(ps));
7300