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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2018 • Question 8

Question

Math 6310 • Algebra Spring 2018 • Question 8

Let \(F\subset L\) a extension of fields of degree 4. Prove that there are no more than 3 fields proper intermediate subfields \(K\); namely, such that \(F\subset K\subset L\).

Raw LaTeX

Let \(F\subset L\) a extension of fields of degree 4. Prove that there are no more than 3 fields
proper intermediate subfields \(K\); namely, such that \(F\subset K\subset L\).

Topic Tags

Ext Functors and Module Extensions Field Extensions