Kummer theory

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo fields containing roots of unity
gptkbp:contributedTo gptkb:Galois_theory
gptkbp:describes extensions of fields by adjoining n-th roots of elements
gptkbp:field algebraic number theory
gptkbp:generalizes gptkb:Artin–Schreier_theory
gptkbp:historicalPeriod 19th century
https://www.w3.org/2000/01/rdf-schema#label Kummer theory
gptkbp:involves n-th roots
gptkbp:namedAfter gptkb:Ernst_Eduard_Kummer
gptkbp:relatedConcept gptkb:Hilbert's_Theorem_90
cyclotomic fields
gptkbp:relatedTo cyclic extensions
gptkbp:requires characteristic not dividing n
gptkbp:studies abelian extensions of fields
gptkbp:usedIn class field theory
gptkbp:bfsParent gptkb:Ernst_Eduard_Kummer
gptkbp:bfsLayer 5