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Representations of Gk-groups and twists of the genus two curve y2=x5−x

By Gabriel Cardona

Abstract

AbstractIn this paper we consider the twists of the single curve of genus 2 with group of automorphism isomorphic to S˜4. To this end, we first study 2-dimensional representations of the quaternion group of 8 elements and of S˜4, both with a given Galois action

Publisher: Elsevier Inc.
Year: 2006
DOI identifier: 10.1016/j.jalgebra.2006.02.005
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