group of automorphisms of the Fano plane
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Fano_plane
|
| gptkbp:alsoKnownAs |
automorphism group of the Fano plane
|
| gptkbp:contains |
elements of order 2, 3, 4, and 7
|
| https://www.w3.org/2000/01/rdf-schema#label |
group of automorphisms of the Fano plane
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,7)
gptkb:general_linear_group_GL(3,2) gptkb:projective_linear_group_PGL(3,2) |
| gptkbp:isSimple |
true
|
| gptkbp:isTransitiveOn |
lines of the Fano plane
points of the Fano plane |
| gptkbp:order |
168
|
| gptkbp:preserves |
incidence structure of the Fano plane
|
| gptkbp:bfsParent |
gptkb:PSL(3,2)
|
| gptkbp:bfsLayer |
7
|