principal congruence subgroups
GPTKB entity
Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:application |
gptkb:algebraic_geometry
number theory automorphic forms theory of modular forms |
gptkbp:definedIn |
congruence conditions modulo an integer
kernel of reduction modulo N homomorphism from SL(2,Z) to SL(2,Z/NZ) |
gptkbp:example |
Γ(2)
Γ(3) Γ(4) |
gptkbp:field |
gptkb:algebra
group theory number theory |
gptkbp:hasNormalSubgroup |
modular group
|
gptkbp:hasSubgroup |
modular group
|
https://www.w3.org/2000/01/rdf-schema#label |
principal congruence subgroups
|
gptkbp:notation |
Γ(N)
|
gptkbp:relatedTo |
gptkb:modular_curves
modular forms arithmetic groups |
gptkbp:bfsParent |
gptkb:PSL(2,ℤ)
|
gptkbp:bfsLayer |
6
|