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gap> as := AG(3,27);
AG(3, 27)
gap> p := Random(Points(as));
<a point in AG(3, 27)>
gap> g := Random(CollineationGroup(as));
< a collineation: [ [ Z(3^3)^25, Z(3^3)^11, Z(3^3)^23, 0*Z(3) ],
[ Z(3^3)^20, 0*Z(3), Z(3^3), 0*Z(3) ],
[ Z(3^3)^16, Z(3^3)^15, Z(3^3)^21, 0*Z(3) ],
[ Z(3^3)^20, Z(3^3)^4, 0*Z(3), Z(3)^0 ] ], F^3>
gap> OnAffineSubspaces(p,g);
<a point in AG(3, 27)>
gap> p^g;
<a point in AG(3, 27)>
gap> l := Random(Lines(as));
<a line in AG(3, 27)>
gap> OnAffineSubspaces(l,g);
<a line in AG(3, 27)>
gap> l^g;
<a line in AG(3, 27)>
[ Dauer der Verarbeitung: 0.13 Sekunden
(vorverarbeitet)
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