Abstract Algebra: Theory and Applications · Problem 22.4.19

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-simple-extensions

Problem

Show that every finite extension of a finite field FF is simple; that is, if EE is a finite extension of a finite field FF, prove that there exists an α∈E\alpha \in E such that E=F(α)E = F(\alpha).

Related theory

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