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2004 On the Distribution of Galois Groups, II
Gunter Malle
Experiment. Math. 13(2): 129-136 (2004).

Abstract

We propose a very precise conjecture on the asymptotics of the counting function for extensions of number fields with fixed Galois group and bounded norm of the discriminant. This sharpens a previous conjecture of the author. The conjecture is known to hold for abelian groups and a few nonabelian ones. We give a heuristic argument why the conjecture should be true. We also present some computational data for the nonsolvable groups of degree 5.

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Gunter Malle. "On the Distribution of Galois Groups, II." Experiment. Math. 13 (2) 129 - 136, 2004.

Information

Published: 2004
First available in Project Euclid: 20 July 2004

zbMATH: 1099.11065
MathSciNet: MR1884706

Subjects:
Primary: 11R29, 11R32, 12-04

Rights: Copyright © 2004 A K Peters, Ltd.

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Vol.13 • No. 2 • 2004
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