Cyclotomic extensions

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf Field extension
Algebraic number theory concept
gptkbp:degree gptkb:Euler's_totient_function_φ(n)
gptkbp:Galois_group 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
Galois extension
Normal extension
Separable extension
https://www.w3.org/2000/01/rdf-schema#label Cyclotomic extensions
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