Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
finite field
|
| gptkbp:application |
gptkb:cyclotomic_field
gptkb:Hilbert_class_field gptkb:Kronecker–Weber_theorem |
| gptkbp:defines |
A Galois extension of fields whose Galois group is abelian
|
| gptkbp:example |
gptkb:cyclotomic_extensions
the maximal abelian extension of the rationals |
| gptkbp:fieldOfStudy |
algebraic number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Abelian extension
|
| gptkbp:namedAfter |
gptkb:Niels_Henrik_Abel
|
| gptkbp:property |
Galois group is commutative
|
| gptkbp:relatedTo |
abelian group
class field theory Galois extension |
| gptkbp:bfsParent |
gptkb:Cyclotomic_extensions
|
| gptkbp:bfsLayer |
7
|