在 Mordell-Weil 群中实现有理表示
数论
2010-02-10 v2 群论
摘要
设 为有限群， 为有限维有理 -表示。我们追问：是否存在数域的有限 Galois 扩张 ，其 Galois 群为 ，椭圆曲线 ，以及同构于 的 的 -子模。
引用
@article{arxiv.math/0401209,
title = {Realizing Rational Representations in Mordell-Weil Groups},
author = {Bo-Hae Im and Michael Larsen},
journal= {arXiv preprint arXiv:math/0401209},
year = {2010}
}
备注
This is a major revision, with a new coauthor and a changed title. The part of the paper dealing with integral structures had a gap, so it has been removed. The rational part has been extended. A new section, using Heegner point methods, has been added. Formerly 9 pages, now 8 pages