Realizing Rational Representations in Mordell-Weil Groups

Details Realizing Rational Representations in Mordell-Weil Groups Realizing Rational Representations in Mordell-Weil Groups

2004-01-16

arxiv.org/abs/math/0401209v2

Mathematics

Number Theory

This is a major revision, with a new coauthor and a changed title. The part of the paper dealing with integral structures had

Scientific paper

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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