Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
gptkb:mathematics |
| gptkbp:appliesTo |
roots of polynomials
solvability of polynomials |
| gptkbp:developedBy |
gptkb:Évariste_Galois
|
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:logic gptkb:topology error-correcting codes field theory group theory mathematical physics number theory partial differential equations combinatorics algebraic structures algebraic equations analyzing permutation groups classifying field extensions constructibility problems cryptographic algorithms proving impossibility of solving quintic equations by radicals |
| gptkbp:hasConcept |
gptkb:Weyl_group
gptkb:fundamental_theorem_of_Galois_theory normal extension separable extension |
| gptkbp:historicalPeriod |
19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Galois theory
|
| gptkbp:namedAfter |
gptkb:Évariste_Galois
|
| gptkbp:relatedConcept |
gptkb:Galois_correspondence
gptkb:differential_Galois_theory gptkb:inverse_Galois_problem gptkb:Galois_connection invariant theory finite field radical extension solvable group |
| gptkbp:relatedTo |
abstract algebra
field theory group theory |
| gptkbp:studies |
polynomial equations
automorphism groups field extensions |
| gptkbp:usedIn |
gptkb:algebraic_geometry
algebraic number theory coding theory cryptography finite fields |
| gptkbp:bfsParent |
gptkb:group_of_people
|
| gptkbp:bfsLayer |
4
|