| The generalized redei-matrix | |
| Yue, Qin1,2 | |
| 刊名 | Mathematische zeitschrift
 |
| 2009 | |
| 卷号 | 261期号:1页码:23-37 |
| 关键词 | Galois cohomology Hilbert symbol Genus theory |
| ISSN号 | 0025-5874 |
| DOI | 10.1007/s00209-008-0311-z |
| 通讯作者 | Yue, qin(yueqin@nuaa.edu.cn) |
| 英文摘要 | Let f be a number field with odd class number, and let e be a quadratic extension of f. our main aim is to prove that the 4-rank of the class group c(e) of e is equal to m - 1 - rank r-e/f, where m is the number of primes of f ramifying in e, r-e/f is the generalized redei-matrix of local hilbert symbols with coefficients in f-2 and the rank is the rank over f-2. we determine the generalized redei-matrices r-e/f explicitly for biquadratic number fields e. |
| WOS关键词 | TAME KERNELS ; FIELDS |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER |
| WOS记录号 | WOS:000260376400003 |
| 内容类型 | 期刊论文 |
| URI标识 | http://www.corc.org.cn/handle/1471x/2395582 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Yue, Qin |
| 作者单位 | 1.Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China 2.Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100039, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yue, Qin. The generalized redei-matrix[J]. Mathematische zeitschrift,2009,261(1):23-37. |
| APA | Yue, Qin.(2009).The generalized redei-matrix.Mathematische zeitschrift,261(1),23-37. |
| MLA | Yue, Qin."The generalized redei-matrix".Mathematische zeitschrift 261.1(2009):23-37. |
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