Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:application |
classification of field extensions
solvability of polynomials by radicals solution of algebraic equations |
| gptkbp:field |
abstract algebra
|
| gptkbp:hasConcept |
gptkb:Weyl_group
gptkb:Artin's_theorem gptkb:Galois_connection_(order_theory) gptkb:Galois_correspondence_(field_theory) gptkb:étale_fundamental_group gptkb:Galois_cohomology gptkb:Kronecker–Weber_theorem gptkb:Galois_correspondence gptkb:Galois_field gptkb:differential_Galois_theory gptkb:fundamental_theorem_of_Galois_theory gptkb:inverse_Galois_problem gptkb:Galois_connection gptkb:Galois_descent profinite group automorphism group normal extension radical extension separable extension solvable group Galois extension Galois action Galois representation abelian extension cyclic extension irreducible polynomial fixed field primitive element theorem splitting field Galois category Galois closure Galois group of a field extension Galois group of a polynomial Galois module Galois ring infinite Galois theory intermediate field |
| gptkbp:historicalPeriod |
19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Galois Theory
|
| gptkbp:influenced |
gptkb:algebraic_geometry
algebraic number theory modern algebra |
| gptkbp:influencedBy |
gptkb:Évariste_Galois
|
| gptkbp:namedAfter |
gptkb:Évariste_Galois
|
| gptkbp:relatedTo |
field theory
group theory |
| gptkbp:studies |
polynomial equations
field extensions |
| gptkbp:bfsParent |
gptkb:Joseph_L._Rotman
|
| gptkbp:bfsLayer |
6
|