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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 1997 • Question 10

Question

Math 6310 • Algebra Fall 1997 • Question 10

Let \(F\) be a field such that the multiplicative group of \(F\) is cyclic. Prove that \(F\) is a finite field.

Raw LaTeX

Let \(F\) be a field such that the multiplicative group of \(F\) is cyclic. Prove that \(F\) is a
finite field.

Topic Tags

Finite Fields Finite Group Theory