Projective Special Linear Group of 2x2 integer matrices modulo center
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
upper half-plane
|
| gptkbp:alsoKnownAs |
gptkb:PSL(2,_Z)
|
| gptkbp:centerOfSL2Z |
{I, -I}
|
| gptkbp:centralTo |
order 2
|
| gptkbp:definedIn |
SL(2, Z) modulo its center
|
| gptkbp:generation |
images of S and T
|
| gptkbp:hasSubgroup |
gptkb:PSL(2,_R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Projective Special Linear Group of 2x2 integer matrices modulo center
|
| gptkbp:importantFor |
gptkb:hyperbolic_geometry
gptkb:modular_curves modular forms number theory |
| gptkbp:isomorphicTo |
free product of C2 and C3
|
| gptkbp:isQuotientOf |
gptkb:SL(2,_Z)
|
| gptkbp:order |
infinite
|
| gptkbp:presentedBy |
<S, T | S^2 = (ST)^3 = 1>
|
| gptkbp:relatedTo |
gptkb:SL(2,_Z)
gptkb:PSL(2,_R) modular group |
| gptkbp:type |
non-abelian
|
| gptkbp:bfsParent |
gptkb:PSL(2,ℤ)
|
| gptkbp:bfsLayer |
6
|