Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:projective_plane
|
| gptkbp:automorphismGroup |
PGL(3, K)
|
| gptkbp:collineations |
projective linear transformations
|
| gptkbp:definedIn |
gptkb:field_K
|
| gptkbp:dimensions |
2
|
| gptkbp:fullName |
projective geometry of dimension 2 over field K
|
| gptkbp:hasPoint |
1-dimensional subspaces of K^3
|
| gptkbp:homogeneousCoordinates |
yes
|
| gptkbp:if_K_is_finite_field_F_q,_number_of_lines |
(q^3-1)/(q-1)
|
| gptkbp:if_K_is_finite_field_F_q,_number_of_lines_per_point |
q+1
|
| gptkbp:if_K_is_finite_field_F_q,_number_of_points |
(q^3-1)/(q-1)
|
| gptkbp:if_K_is_finite_field_F_q,_number_of_points_per_line |
q+1
|
| gptkbp:incidenceStructure |
yes
|
| gptkbp:linesAre |
2-dimensional subspaces of K^3
|
| gptkbp:notation |
gptkb:PG(2,_K)
|
| gptkbp:originatedIn |
gptkb:geometry
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:geometry |
| gptkbp:bfsParent |
gptkb:Projective_plane
|
| gptkbp:bfsLayer |
8
|
| http://www.w3.org/2000/01/rdf-schema#label |
PG(2, K)
|