On the Ζl-rank of abelian extensions with restricted ramification

被引：8

作者：

Maire, C ^{[1
]}

机构：

[1] Univ Bordeaux 1, Lab A2X, F-33405 Talence, France

来源：

JOURNAL OF NUMBER THEORY | 2002年 / 92卷 / 02期

基金：

美国国家科学基金会;

关键词：

S-ramification; Zeta(l)-rank; Schanuel l-adic conjecture;

D O I：

10.1006/jnth.2001.2712

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a prime number l, we consider l-extensions k(S) of number fields k unramified outside a finite set S subset of S-l of places of k, and we study the Z(l)-rank of the abelian part of k(S)/k and the number of relations of the Galois group G(S) := Gal(k(S)/k). (C) 2002 Elsevier Science (USA).

引用

页码：376 / 404

页数：29

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