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