Γ(n) (principal congruence subgroup of level n)
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
modular group
subgroup of SL(2, Z) |
| gptkbp:contains |
matrices congruent to identity modulo n
|
| gptkbp:definedIn |
kernel of the natural homomorphism from SL(2, Z) to SL(2, Z/nZ)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Γ(n) (principal congruence subgroup of level n)
|
| gptkbp:indexInSL(2,Z) |
finite for n > 1
|
| gptkbp:level |
n
|
| gptkbp:normalSubgroupOf |
gptkb:SL(2,_Z)
|
| gptkbp:notation |
Γ(n)
|
| gptkbp:relatedGroup |
gptkb:group_of_people
|
| gptkbp:usedIn |
gptkb:modular_curves
modular forms arithmetic geometry |
| gptkbp:bfsParent |
gptkb:SL(2,ℤ)
|
| gptkbp:bfsLayer |
6
|