Remarks on normal bases
Number Theory
2007-05-23 v1
Abstract
We prove that any Galois extension of commutative rings with normal basis and abelian Galois group of odd order has a self dual normal basis. Also we show that if S/R is an unramified extension of number rings with Galois group of odd order and is totally real then the normal basis does not exist for S/R.
Keywords
Cite
@article{arxiv.math/9710223,
title = {Remarks on normal bases},
author = {Marcin Mazur},
journal= {arXiv preprint arXiv:math/9710223},
year = {2007}
}