循环八次扩张中歧义理想的伽罗瓦结构
数论
2007-05-23 v1
摘要
在代数数域 的循环 8 次扩张中，N 中的歧义理想是典范的 -模。它们的 -结构在此被确定。该结构用不可分解模描述，并由分歧不变量决定。尽管存在无穷多个不可分解的 -模（由 Yakovlev 分类），但仅出现 23 个。
引用
@article{arxiv.math/0602060,
title = {The Galois structure of ambiguous ideals in cyclic extensions of degree 8},
author = {G. Griffith Elder},
journal= {arXiv preprint arXiv:math/0602060},
year = {2007}
}
备注
This article has appeared in the Lect. Notes Pure Appl. Math. without references. The article is being posted here, with permission, to remedy that problem