On counting rings of integers as Galois modules
Number Theory
2010-10-14 v3
Abstract
Let be a number field and a finite abelian group. We study the asymptotic behaviour of the number of tamely ramified -extensions of with ring of integers of fixed realisable class as a Galois module.
Keywords
Cite
@article{arxiv.0811.3452,
title = {On counting rings of integers as Galois modules},
author = {A. Agboola},
journal= {arXiv preprint arXiv:0811.3452},
year = {2010}
}
Comments
Final version. Substantial revision, taking into account a number of helpful suggestions by an anonymous referee. To appear in Crelle