Frobenius automorphism

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf automorphism
gptkbp:actsOn finite field
gptkbp:describes automorphism of a finite field that maps each element to its p-th power
gptkbp:field finite field
gptkbp:fixes prime subfield
gptkbp:heldBy generator of the Galois group of a finite field extension
https://www.w3.org/2000/01/rdf-schema#label Frobenius automorphism
gptkbp:importantFor gptkb:Galois_theory
algebraic number theory
gptkbp:mapType x to x^p
gptkbp:namedAfter gptkb:Ferdinand_Georg_Frobenius
gptkbp:notation Frob
gptkbp:order degree of the field extension
gptkbp:bfsParent gptkb:Ferdinand_Georg_Frobenius
gptkbp:bfsLayer 5