general linear group of degree n over the integers
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
| gptkbp:abbreviation |
GL(n, Z)
|
| gptkbp:actsOn |
Z^n
|
| gptkbp:centralTo |
{I, -I} for n even
{I} for n odd |
| gptkbp:contains |
special linear group of degree n over the integers
|
| gptkbp:containsElement |
invertible n by n matrices with integer entries
|
| gptkbp:definedIn |
integers
|
| gptkbp:hasDeterminantMapTo |
multiplicative group of integers excluding zero
|
| gptkbp:hasSubgroup |
general linear group of degree n over the rationals
|
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group of degree n over the integers
|
| gptkbp:isDiscreteSubgroupOf |
general linear group of degree n over the reals
|
| gptkbp:isFinitelyGenerated |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true for n > 1
|
| gptkbp:notation |
GL(n, Z)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
special linear group of degree n over the integers
|
| gptkbp:bfsParent |
gptkb:GL(n,Z)
|
| gptkbp:bfsLayer |
6
|