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Realizing Rational Representations in Mordell-Weil Groups

Bo-Hae Im·Michael Larsen
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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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Bo-Hae Im, Michael Larsen. 2004-01-16. Realizing Rational Representations in Mordell-Weil Groups. https://arxiv.org/abs/math/0401209

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