Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
modular group |
| gptkbp:actsOn |
integer lattice in 3 dimensions
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:definedIn |
group of 3x3 integer matrices with determinant 1
|
| gptkbp:fullName |
gptkb:Special_Linear_Group_of_3x3_integer_matrices
|
| gptkbp:generatorsInclude |
elementary matrices
|
| gptkbp:hasCongruenceSubgroups |
yes
|
| gptkbp:hasKazhdanPropertyT |
yes
|
| gptkbp:hasProperty |
non-abelian
orthogonal group finitely generated |
| gptkbp:hasSubgroup |
gptkb:GL(3,_Z)
gptkb:SL(3,_R) |
| gptkbp:hasTorsionElements |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
SL(3, Z)
|
| gptkbp:isDiscreteSubgroupOf |
gptkb:SL(3,_R)
|
| gptkbp:isLatticeIn |
gptkb:SL(3,_R)
|
| gptkbp:isQuotientOf |
gptkb:PSL(3,_Z)
|
| gptkbp:notation |
gptkb:SL(3,_ℤ)
|
| gptkbp:order |
infinite
|
| gptkbp:rank |
2
|
| gptkbp:relatedTo |
gptkb:SL(2,_Z)
modular group |
| gptkbp:usedIn |
gptkb:geometry_of_numbers
modular forms number theory algebraic group theory |
| gptkbp:bfsParent |
gptkb:Kazhdan's_property_(T)
|
| gptkbp:bfsLayer |
6
|