On the Distribution of Galois Groups, II
- 1 January 2004
- journal article
- research article
- Published by Taylor & Francis Ltd in Experimental Mathematics
- Vol. 13 (2), 129-135
- https://doi.org/10.1080/10586458.2004.10504527
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.Keywords
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