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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 1996 • Question 4

Question

Math 6310 • Algebra Fall 1996 • Question 4

Let \(K\subseteq L\) be finite fields. Prove that the extension \(L\) of \(K\) is Galois with cyclic Galois group.

Raw LaTeX

Let \(K\subseteq L\) be finite fields. Prove that the extension \(L\) of \(K\) is Galois with cyclic
Galois group.

Topic Tags

Field Extensions Finite Fields Finite Group Theory Galois Theory