Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
upper half-plane
|
| gptkbp:alsoKnownAs |
gptkb:PSL(2,ℤ)
|
| gptkbp:centerOfSL(2,ℤ) |
{±I}
|
| gptkbp:constructedAs |
SL(2,ℤ) modulo its center
|
| gptkbp:fullName |
projective special linear group over the integers
|
| gptkbp:generation |
images of S and T
|
| gptkbp:hasSubgroup |
congruence subgroups
|
| https://www.w3.org/2000/01/rdf-schema#label |
SL(2,ℤ) by {±I}
|
| gptkbp:importantFor |
gptkb:hyperbolic_geometry
gptkb:modular_curves complex analysis modular forms number theory |
| gptkbp:isomorphicTo |
free product of C2 and C3
|
| gptkbp:isQuotientOf |
gptkb:SL(2,ℤ)
{±I} |
| gptkbp:orderOfQuotient |
infinite
|
| gptkbp:presentedBy |
⟨S,T | S^2 = (ST)^3 = 1⟩
|
| gptkbp:relatedTo |
modular group
|
| gptkbp:bfsParent |
gptkb:PSL(2,ℤ)
|
| gptkbp:bfsLayer |
6
|