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.
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页码：897 / 907
页数：11
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