Math 2.0

Field theory and polynomials Concept

Frobenius automorphism of a finite field

Summary

The Frobenius automorphism of a finite field of characteristic pp is the map x↦xpx \mapsto x^p. It generates the group of all automorphisms of the field. The definition of the Frobenius automorphism gives the details.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Finite_field, Frobenius automorphism and Galois theory
About this page
Tag0CGCPX8Z70
URIm2://0CGCPX8Z70
Kindconcept
WritingW0 stub
MSC12E20
SpecializesFrobenius endomorphism

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