Statements (20)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:actsOn |
Z^3
|
gptkbp:application |
gptkb:algebraic_K-theory
crystallography modular forms lattice theory |
gptkbp:centralTo |
{I, -I} (I: identity matrix)
|
gptkbp:containsElement |
invertible 3x3 matrices with integer entries
|
gptkbp:determinantCondition |
determinant is ±1
|
gptkbp:fullName |
General Linear Group of 3x3 invertible integer matrices
|
gptkbp:hasSubgroup |
gptkb:SL(3,Z)
GL(3,R) |
https://www.w3.org/2000/01/rdf-schema#label |
GL(3,Z)
|
gptkbp:identityElement |
matrix inverse
3x3 identity matrix |
gptkbp:notation |
GL_3(Z)
|
gptkbp:order |
infinite
|
gptkbp:relatedGroup |
matrix multiplication
|
gptkbp:bfsParent |
gptkb:SL(3,Z)
|
gptkbp:bfsLayer |
6
|