Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:finite_projective_plane
|
| gptkbp:automorphismGroup |
gptkb:PSL(2,7)
|
| gptkbp:can_be_coordinatized_by |
finite field of order 2
|
| gptkbp:example |
gptkb:Steiner_system_S(2,3,7)
incidence geometry block design matroid |
| gptkbp:hasDual |
self-dual
|
| gptkbp:is_configuration |
(7_3)
|
| gptkbp:is_smallest_projective_plane |
true
|
| gptkbp:is_symmetric_design |
(7,3,1)
|
| gptkbp:line |
7
|
| gptkbp:lines_per_point |
3
|
| gptkbp:namedAfter |
gptkb:Gino_Fano
|
| gptkbp:number_of_points |
7
|
| gptkbp:order |
2
|
| gptkbp:points_per_line |
3
|
| gptkbp:used_in |
gptkb:combinatorics
gptkb:algebraic_geometry gptkb:geometry gptkb:quantum_information_theory coding theory error-correcting codes group theory matroid theory graph theory design theory incidence structures |
| gptkbp:bfsParent |
gptkb:The_Real_Projective_Plane
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
the Fano plane
|