Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:automorphismGroup |
Cyclic group of order 2
|
| gptkbp:contains |
Rational numbers
|
| gptkbp:defines |
A field extension of the rational numbers of degree 2
|
| gptkbp:degree |
2
|
| gptkbp:discriminant |
d
|
| gptkbp:example |
Q(√5)
Q(√-1) Q(√-3) Q(√2) |
| gptkbp:GaloisGroup |
Cyclic group of order 2
|
| gptkbp:hasProperty |
Every element is of the form a + b√d, with a, b in Q
|
| https://www.w3.org/2000/01/rdf-schema#label |
Quadratic fields
|
| gptkbp:notation |
Q(√d)
|
| gptkbp:relatedTo |
gptkb:Hilbert_class_field
gptkb:Pell's_equation Quadratic forms Ideal class group Units in number fields |
| gptkbp:ringOfIntegers |
Quadratic integer ring
|
| gptkbp:studiedIn |
gptkb:Algebraic_number_theory
|
| gptkbp:subclassOf |
Number field
|
| gptkbp:subspecies |
Imaginary quadratic field
Real quadratic field |
| gptkbp:usedIn |
gptkb:Class_field_theory
Cryptography Elliptic curves |
| gptkbp:bfsParent |
gptkb:Algebraic_Number_Fields
|
| gptkbp:bfsLayer |
7
|