On counting rings of integers as Galois modules

2008/11/21 by A. Agboola, Agboola, A. · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.0811.3452

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

arxiv created 2010/10/12 · arxiv updated 2010/10/14

Abstract

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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