On counting rings of integers as Galois modules

Details On counting rings of integers as Galois modules On counting rings of integers as Galois modules

2008-11-21

arxiv.org/abs/0811.3452v3

Mathematics

Number Theory

Final version. Substantial revision, taking into account a number of helpful suggestions by an anonymous referee. To appear in

Scientific paper

Let $K$ be a number field and $G$ a finite abelian group. We study the
asymptotic behaviour of the number of tamely ramified $G$-extensions of $K$
with ring of integers of fixed realisable class as a Galois module.

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