Realizing Rational Representations in Mordell-Weil Groups

2004/01/16 by Bo‐Hae Im, Michael Larsen, Im, Bo-Hae +1
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.math/0401209

Abstract

Let G be a finite group and V a finite-dimensional rational G-representation. We ask whether there exists a finite Galois extension L/K of number fields with Galois group G, an elliptic curve E/K, and a G-submodule of E(L) tensor Q isomorphic to V.

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