general linear group GL(m,q) for m > 2n
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
vector space of dimension m over finite field of order q
|
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:contains |
special linear group SL(m,q)
|
| gptkbp:containsElement |
invertible m x m matrices over finite field of order q
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
general linear group GL(m+1,q)
general linear group GL(n,q) for n < m |
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group GL(m,q) for m > 2n
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
projective general linear group PGL(m,q)
|
| gptkbp:isReductive |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
(q^m-1)(q^m-q)...(q^m-q^{m-1})
|
| gptkbp:bfsParent |
gptkb:general_linear_group_GL(2n,q)
|
| gptkbp:bfsLayer |
8
|