Principal congruence subgroup
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
subfamily |
| gptkbp:consistsOf |
matrices congruent to identity modulo n
|
| gptkbp:definedIn |
integer n ≥ 1
|
| gptkbp:hasNormalSubgroup |
gptkb:SL(2,ℤ)
|
| gptkbp:hasSubgroup |
modular group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Principal congruence subgroup
|
| gptkbp:indexInSL2Z |
finite for each n ≥ 1
|
| gptkbp:notation |
Γ(n)
|
| gptkbp:relatedTo |
modular group
|
| gptkbp:usedIn |
modular forms
algebraic groups arithmetic groups |
| gptkbp:bfsParent |
gptkb:Modular_group
gptkb:Congruence_subgroup |
| gptkbp:bfsLayer |
6
|