Genus fields of real biquadratic fields

被引：10

作者：

Yue, Qin ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

RAMANUJAN JOURNAL | 2010年 / 21卷 / 01期

关键词：

Class group; Hilbert genus field; TAME KERNELS;

D O I：

10.1007/s11139-009-9159-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K = Q(root p, root d) be a real biquadratic field with prime p equivalent to 1 mod 4 and positive integer d equivalent to 3 mod 4. In this paper, we give the Hilbert genus field of K explicitly.

引用

页码：17 / 25

页数：9

共 50 条

[41] Tame kernels of cubic and sextic fields
Zhou, Haiyan
Liang, Zhibin
JOURNAL OF NUMBER THEORY, 2018, 190 : 277 - 291
[42] Tame Kernels of Pure Cubic Fields
Xiao Yun CHENG
Acta Mathematica Sinica,English Series, 2012, (04) : 771 - 780
[43] ON THE CLASSGROUPS OF IMAGINARY ABELIAN-FIELDS
SOLOMON, D
ANNALES DE L INSTITUT FOURIER, 1990, 40 (03) : 467 - 492
[44] ORDERS IN QUADRATIC FIELDS .1.
MOLLIN, RA
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1993, 69 (03) : 45 - 48
[45] On class numbers of pure quartic fields
Li, Jianing
Xu, Yue
RAMANUJAN JOURNAL, 2021, 56 (01) : 235 - 248
[46] On the Iwasawa invariants of prime cyclotomic fields
Kim, Sey Y.
RESEARCH IN NUMBER THEORY, 2023, 9 (02)
[47] On class numbers of pure quartic fields
Jianing Li
Yue Xu
The Ramanujan Journal, 2021, 56 : 235 - 248
[48] NONUNIQUE FACTORIZATION AND PRINCIPALIZATION IN NUMBER FIELDS
Martin, Kimball
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (09) : 3025 - 3038
[49] Tame kernels of cyclic extensions of number fields
Zhou, Haiyan
ACTA ARITHMETICA, 2009, 136 (03) : 271 - 277
[50] Indivisibility of class numbers of global function fields
Pacelli, Allison M.
Rosen, Michael
ACTA ARITHMETICA, 2009, 138 (03) : 269 - 287

← 1 2 3 4 5 →