Higher Class Numbers in Extensions of Number Fields

被引：1

作者：

Zhou, Haiyan ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 03期

关键词：

Higher class number; Galois extension; Tame kernel; S-CLASS NUMBERS; DIHEDRAL EXTENSIONS; MOTIVIC COHOMOLOGY; FORMULA;

D O I：

10.1007/s40840-014-0064-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F/Q be a complex Galois extension with Galois group V-4 or S-3 . This paper proves that certain quotients of higher class numbers corresponding to the intermediate fields take on a determined finite set of values, assuming the motivic formulation of the Lichtenbaum conjecture.

引用

页码：897 / 907

页数：11

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