Computation of 2-groups of narrow logarithmic divisor classes of number fields

被引：0

作者：

Jaulent, Jean-Francois ^{[1
]}

Pauli, Sebastian ^{[2
]}

Pohst, Michael E. ^{[3
]}

Soriano-Gafiuk, Florence ^{[4
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France

[2] Univ N Carolina, Dept Math & Stat, Greensboro, NC 27402 USA

[3] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[4] Univ Paul Verlaine Metz, LMAM, F-57000 Metz, France

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2009年 / 44卷 / 07期

关键词：

Logarithmic class group; Wild kernel; Narrow logarithmic classes; WILD KERNEL;

D O I：

10.1016/j.jsc.2008.04.012

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present an algorithm for computing the 2-group (Cl) over tilde (res)(F) of narrow logarithmic divisor classes of degree 0 for number fields F. As an application, we compute in some cases the 2-rank of the wild kernel WK2(F) and the 2-rank of its subgroup K-2(infinity) (F) := 2 boolean AND(n >= 1) K-2(n)(F) of infinite height elements in K-2(F). (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：852 / 863

页数：12