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On the Distribution of Galois Groups

✍ Scribed by Gunter Malle

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 148 KB
Volume: 92
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2713

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✦ Synopsis

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.

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