Galois correspondence (field theory)
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Galois_extensions
|
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:describes |
relationship between subfields and subgroups
|
| gptkbp:establishes |
bijection between intermediate fields and subgroups
|
| gptkbp:explains |
abstract algebra textbooks
|
| gptkbp:field |
field theory
|
| gptkbp:formedBy |
gptkb:Emil_Artin
19th century |
| https://www.w3.org/2000/01/rdf-schema#label |
Galois correspondence (field theory)
|
| gptkbp:inverseRelation |
inclusion reversing
|
| gptkbp:namedAfter |
gptkb:Évariste_Galois
|
| gptkbp:partOf |
gptkb:Galois_theory
|
| gptkbp:relatedTo |
gptkb:fundamental_theorem_of_Galois_theory
intermediate fields subgroups of Galois group |
| gptkbp:requires |
normal extension
separable extension |
| gptkbp:usedIn |
solvability of polynomials
|
| gptkbp:bfsParent |
gptkb:Galois_Theory
|
| gptkbp:bfsLayer |
7
|