special linear group of 2x2 matrices over the rationals
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
{±I}, where I is the 2x2 identity matrix
|
| gptkbp:containsElement |
2x2 matrices with rational entries and determinant 1
|
| gptkbp:definedIn |
rational numbers
|
| gptkbp:dimensionAsAlgebraicGroup |
3
|
| gptkbp:field |
gptkb:Q
|
| gptkbp:hasSubgroup |
general linear group of 2x2 matrices over the rationals
|
| https://www.w3.org/2000/01/rdf-schema#label |
special linear group of 2x2 matrices over the rationals
|
| gptkbp:identityElement |
2x2 identity matrix
|
| gptkbp:isFinite |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:name |
SL(2, Q)
|
| gptkbp:notation |
SL(2, Q)
|
| gptkbp:bfsParent |
gptkb:SL_2(Q)
|
| gptkbp:bfsLayer |
8
|