Vol. 2, 2019

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Arithmetic statistics of Galois groups

David Kohel

Vol. 2 (2019), 353–374
Abstract

We develop a computational framework for the statistical characterization of Galois characters with finite image, with application to characterizing Galois groups and establishing equivalence of characters of finite images of Gal(ℚ ̄∕ℚ).

Keywords
arithmetic statistics, Galois groups
Mathematical Subject Classification 2010
Primary: 11R21, 11R32, 11R44
Milestones
Received: 2 March 2018
Revised: 9 September 2018
Accepted: 10 September 2018
Published: 13 February 2019
Authors
David Kohel
Aix-Marseille Université, CNRS, Centrale Marseille, I2M
Marseille
France