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Math 6310 • Algebra

Fall 1995 • Question 7

Question

Math 6310 • Algebra Fall 1995 • Question 7

Let \(F\) be the field of integers modulo 7. Determine which finite extensions of \(F\) contain exactly four 4th roots of 1.

Raw LaTeX

Let \(F\) be the field of integers modulo 7. Determine which finite extensions of \(F\) contain
exactly four 4th roots of 1.

Topic Tags

Chinese Remainder Theorem and Product Decompositions Ext Functors and Module Extensions Field Extensions Finite Fields

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