The Galois structure of ambiguous ideals in cyclic extensions of degree 8

被引：0
|
作者：
Elder, GG [1 ]
机构：
[1] Univ Nebraska, Dept Math, Omaha, NE 68132 USA
来源：
Noncommutative Algebra and Geometry | 2006年 / 243卷
关键词：
Galois module structure; wild ramification; integral representation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In cyclic, degree 8 extensions of algebraic number fields N/K, ambiguous ideals in N are canonical Z [C-8]-modules. Their Z[C-8]-structure is determined here. It is described in terms of indecomposable modules and determined by ramification invariants. Although infinitely many indecomposable Z[C-8]-modules are available (classification by Yakovlev), only 23 appear.
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页码：63 / 89
页数：27
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