Real fields and repeated radical extensions
Number Theory
2008-02-03 v1 Commutative Algebra
Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.math/9702232,
title = {Real fields and repeated radical extensions},
author = {I. M. Isaacs and David Petrie Moulton},
journal= {arXiv preprint arXiv:math/9702232},
year = {2008}
}