Statements (31)
Predicate | Object |
---|---|
gptkbp:instanceOf |
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
|
https://www.w3.org/2000/01/rdf-schema#label |
the Fano plane
|
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:algebraic_geometry
gptkb:geometry gptkb:quantum_information_theory coding theory error-correcting codes group theory matroid theory combinatorics graph theory design theory incidence structures |
gptkbp:bfsParent |
gptkb:The_Real_Projective_Plane
|
gptkbp:bfsLayer |
8
|