vector space of dimension n over F q
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Vector
gptkb:mathematical_concept |
| gptkbp:automorphismGroup |
general linear group GL(n, F_q)
|
| gptkbp:base_field |
finite field
|
| gptkbp:base_field_order |
q
|
| gptkbp:basisFor |
n linearly independent vectors
|
| gptkbp:cardinality |
q^n
|
| gptkbp:dimensions |
n
|
| gptkbp:field |
F_q
|
| gptkbp:has_subspaces |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
vector space of dimension n over F q
|
| gptkbp:is_abelian_group |
true
|
| gptkbp:is_finite |
true
|
| gptkbp:number_of_k-dimensional_subspaces |
Gaussian binomial coefficient [n choose k]_q
|
| gptkbp:bfsParent |
gptkb:SL(n,q)
|
| gptkbp:bfsLayer |
7
|