Real fields and repeated radical extensions
classification
🧮 math.NT
math.ACmath.RA
keywords
radicalrepeatedextensionfieldextensionsrealcontainsdegree
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The main result of this paper is that if E is a field extension of finite odd degree over a real field Q, and if E is a repeated radical extension of Q, then every intermediate field is also a repeated radical extension of Q. This paper also contains a number of other results about repeated radical extensions.
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