Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Galois_extensions
|
| gptkbp:describes |
relationship between subgroups and subfields
|
| gptkbp:explains |
Galois theory textbooks
|
| gptkbp:field |
gptkb:Galois_theory
abstract algebra |
| gptkbp:formedBy |
19th century
|
| gptkbp:generalizes |
gptkb:Galois_connection
|
| gptkbp:hasProperty |
lattice anti-isomorphism
order-reversing |
| https://www.w3.org/2000/01/rdf-schema#label |
Galois correspondence
|
| gptkbp:isBijection |
yes
|
| gptkbp:namedAfter |
gptkb:Évariste_Galois
|
| gptkbp:relatedTo |
gptkb:fundamental_theorem_of_Galois_theory
intermediate fields subgroups of Galois group |
| gptkbp:usedIn |
solvability of polynomials
classification of field extensions |
| gptkbp:bfsParent |
gptkb:Galois_theory
|
| gptkbp:bfsLayer |
5
|