Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Algebraic_number_theory_concept
gptkb:Field_extension |
| gptkbp:degree |
gptkb:Euler's_totient_function_φ(n)
|
| gptkbp:Galois_group |
gptkb:Abelian_group
Isomorphic to the multiplicative group of units modulo n |
| gptkbp:generation |
Adjoining a primitive n-th root of unity to a field
|
| gptkbp:heldBy |
gptkb:Abelian_extension
gptkb:Galois_extension Normal extension Separable extension |
| gptkbp:minimal_polynomial |
gptkb:Cyclotomic_polynomial
|
| gptkbp:rank |
Rational numbers
|
| gptkbp:relatedTo |
gptkb:Cyclotomic_fields
|
| gptkbp:studiedBy |
gptkb:Class_field_theory
|
| gptkbp:used_in |
gptkb:Fermat's_Last_Theorem
gptkb:Kummer_theory gptkb:Kronecker–Weber_theorem Construction of regular polygons |
| gptkbp:bfsParent |
gptkb:Kummer_extensions
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cyclotomic extensions
|