Mathematics · Field Theory
Let F be a field. Then which of the following statements is true?
- 1All finite normal extensions of F are isomorphic as fields if Char(F) = 0
- 2All finite extensions of F of the same degree are isomorphic as fields if F is finite✓
- 3All finite extensions of F of the same degree are isomorphic as fields if Char(F) > 0
- 4All extensions of degree 2 of F are isomorphic as fields
Correct answer
All finite extensions of F of the same degree are isomorphic as fields if F is finite
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