Elsevier

Journal of Number Theory

Volume 92, Issue 2, February 2002, Pages 315-329
Journal of Number Theory

Regular Article
On the Distribution of Galois Groups

https://doi.org/10.1006/jnth.2001.2713Get rights and content
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Abstract

We propose a conjecture on the distribution of number fields with given Galois group and bounded norm of the discriminant. This conjecture is known to hold for abelian groups. We give some evidence relating the general case to the composition formula for discriminants, give a heuristic argument in favor of the conjecture, and present some computational data.

Keywords

Galois groups
density of extensions
distribution of discriminants

Cited by (0)

Communicated by M. Pohst

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E-mail: [email protected]