principal congruence subgroup
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:contains |
matrices congruent to identity modulo N
|
| gptkbp:defines |
modular group
kernel of the natural homomorphism from SL(2,ℤ) to SL(2,ℤ/Nℤ) |
| gptkbp:example |
Γ(2) is the subgroup of SL(2,ℤ) congruent to identity mod 2
|
| gptkbp:field |
gptkb:algebra
group theory modular forms |
| gptkbp:heldBy |
modular group
|
| https://www.w3.org/2000/01/rdf-schema#label |
principal congruence subgroup
|
| gptkbp:notation |
Γ(N)
|
| gptkbp:parameter |
positive integer N
|
| gptkbp:used_in |
arithmetic geometry
automorphic forms theory of modular forms |
| gptkbp:bfsParent |
gptkb:modular_group
|
| gptkbp:bfsLayer |
5
|