Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
| gptkbp:actsOn |
Q^n
|
| gptkbp:centralTo |
scalar matrices with nonzero entries in Q
|
| gptkbp:contains |
SL(n,Q)
|
| gptkbp:containsElement |
invertible n x n matrices with entries in Q
|
| gptkbp:definedIn |
gptkb:Q
|
| gptkbp:describes |
group of invertible linear transformations of Q^n
|
| gptkbp:field |
gptkb:Q
|
| gptkbp:fullName |
general linear group of degree n over the rationals
|
| gptkbp:hasSubgroup |
gptkb:GL(n,C)
gptkb:GL(n,R) |
| https://www.w3.org/2000/01/rdf-schema#label |
GL(n,Q)
|
| gptkbp:identityElement |
identity matrix
matrix inverse |
| gptkbp:notation |
GL_n(Q)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
projective general linear group PGL(n,Q)
special linear group SL(n,Q) |
| gptkbp:structure |
non-abelian for n > 1
|
| gptkbp:bfsParent |
gptkb:GL(n,Z)
|
| gptkbp:bfsLayer |
6
|