Statements (16)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
gptkbp:actsOn |
Z^3
|
gptkbp:centralTo |
{I, -I} (I is the identity matrix)
|
gptkbp:contains |
gptkb:SL(3,_Z)
|
gptkbp:containsElement |
invertible 3x3 matrices with integer entries
|
gptkbp:determinantCondition |
determinant is ±1
|
gptkbp:fullName |
general linear group of degree 3 over the integers
|
gptkbp:hasSubgroup |
GL(3, Q)
|
https://www.w3.org/2000/01/rdf-schema#label |
GL(3, Z)
|
gptkbp:identityElement |
matrix inverse
3x3 identity matrix |
gptkbp:operator |
matrix multiplication
|
gptkbp:order |
infinite
|
gptkbp:bfsParent |
gptkb:SL(3,_Z)
|
gptkbp:bfsLayer |
7
|