Completely normal elements in finite abelian extensions
Number Theory
2011-11-29 v2
Abstract
We give a completely normal element in the maximal real subfield of a cyclotomic field over the field of rational numbers, which is different from that of Okada. This result is a consequence of the criterion for a normal element developed in [Normal bases of ray class fields over imaginary quadratic fields, Math. Zeit.]. Furthermore, we find a completely normal element in certain extension of modular function fields in terms of a quotient of the modular discriminant function.
Keywords
Cite
@article{arxiv.1110.1852,
title = {Completely normal elements in finite abelian extensions},
author = {Ja Kung Koo and Dong Hwa Shin},
journal= {arXiv preprint arXiv:1110.1852},
year = {2011}
}