Principal congruence subgroup
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:subfamily
gptkb:mathematical_concept |
| gptkbp:consistsOf |
matrices congruent to identity modulo n
|
| gptkbp:definedIn |
integer n ≥ 1
|
| gptkbp:hasNormalSubgroup |
gptkb:SL(2,ℤ)
|
| gptkbp:hasSubgroup |
gptkb:modular_group
|
| gptkbp:indexInSL2Z |
finite for each n ≥ 1
|
| gptkbp:notation |
Γ(n)
|
| gptkbp:relatedTo |
gptkb:modular_group
|
| gptkbp:usedIn |
modular forms
algebraic groups arithmetic groups |
| gptkbp:bfsParent |
gptkb:Modular_group
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Principal congruence subgroup
|