projective semilinear group PΓL(n,q)
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
gptkb:group_of_people |
| gptkbp:actsOn |
projective space of dimension n-1 over finite field of order q
|
| gptkbp:contains |
gptkb:projective_general_linear_group_PGL(n,q)
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:extendsTo |
PGL(n,q) by automorphism group of finite field
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective semilinear group PΓL(n,q)
|
| gptkbp:includes |
field automorphisms
linear transformations |
| gptkbp:isQuotientOf |
general semilinear group ΓL(n,q) by scalar matrices
|
| gptkbp:notation |
PΓL(n,q)
|
| gptkbp:order |
nondeterministic, depends on n and q
|
| gptkbp:relatedTo |
general semilinear group ΓL(n,q)
|
| gptkbp:usedIn |
gptkb:geometry
group theory algebraic combinatorics |
| gptkbp:bfsParent |
gptkb:projective_special_linear_group_PSL(n,q)
|
| gptkbp:bfsLayer |
8
|