Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:actsOn |
elements of a ring or field
|
| gptkbp:appliesTo |
fields of positive characteristic
|
| gptkbp:defines |
ring homomorphism that raises elements to the p-th power
|
| gptkbp:field |
gptkb:algebra
gptkb:algebraic_geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius map
|
| gptkbp:importantFor |
gptkb:algebraic_geometry
gptkb:Galois_theory algebraic number theory finite fields |
| gptkbp:inCharacteristic |
p > 0
|
| gptkbp:inCharacteristicZero |
identity map
|
| gptkbp:isAutomorphism |
true
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
|
| gptkbp:symbol |
F
|
| gptkbp:type |
endomorphism
automorphism (in finite fields) |
| gptkbp:usedIn |
study of étale cohomology
definition of perfect fields study of schemes over finite fields |
| gptkbp:bfsParent |
gptkb:Frobenius_morphism
|
| gptkbp:bfsLayer |
6
|