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A Polynomial with Galois Groups SL2(F16)
Published online by Cambridge University Press: 01 February 2010
Abstract
In this paper we display an explicit polynomial having Galois group SL2(F16), filling in a gap in the tables of Jürgen Klüners and Gunter Malle. Furthermore, the polynomial has small Galois root discriminant; this fact answers a question of John Jones and David Roberts. The computation of this polynomial uses modular forms and their Galois representations.
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- Copyright © London Mathematical Society 2007
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