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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2002 • Question 6

Question

Math 6310 • Algebra Fall 2002 • Question 6

Let \(E\subset F\) be an extension of finite fields. Prove that the trace map from \(F\) to \(E\) is surjective.

Raw LaTeX

Let \(E\subset F\) be an extension of finite fields. Prove that the trace map from \(F\) to \(E\) is
surjective.

Topic Tags

Ext Functors and Module Extensions Field Extensions Finite Fields