Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
scalar matrices with determinant 1
|
| gptkbp:containsElement |
n x n matrices with determinant 1
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:fullName |
gptkb:special_linear_group_of_degree_n_over_the_finite_field_with_q_elements
|
| gptkbp:hasSubgroup |
GL_n(q)
|
| gptkbp:importantFor |
gptkb:algebraic_geometry
group theory representation theory |
| gptkbp:isQuotientOf |
gptkb:PSL_n(q)
|
| gptkbp:isSimple |
n > 2 or (n=2 and q>3)
|
| gptkbp:notation |
gptkb:SL_n(q)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
q^{n^2-1} \prod_{k=2}^n (q^k-1)
|
| gptkbp:relatedTo |
gptkb:general_linear_group
gptkb:orthogonal_group gptkb:projective_special_linear_group |
| gptkbp:bfsParent |
gptkb:SL(n,q)
|
| gptkbp:bfsLayer |
10
|
| https://www.w3.org/2000/01/rdf-schema#label |
SL n(q)
|