Arithmetic of quasi-cyclotomic fields | |
Yin, Linsheng ; Zhang, Chong | |
2010-05-06 ; 2010-05-06 | |
关键词 | ALGEBRAIC GAMMA-MONOMIALS DOUBLE COVERINGS Mathematics |
中文摘要 | We call a quadratic extension of a cyclotomic field a quasi-cyclotomic field if it is non-abelian Galois over the rational number field. In this paper, we study the arithmetic of any quasi-cyclotomic field, including to determine the ring of integers of it, the decomposition nature of prime numbers in it, and the structure of the Galois group of it over the rational number field. We also describe explicitly all real quasi-cyclotomic fields, namely, the maximal real subfields of quasi-cyclotomic fields which are Galois over the rational number field. It gives a series of totally real fields and CM fields which are non-abelian Galois over the rational number field. (C) 2007 Elsevier Inc. All rights reserved. |
语种 | 英语 ; 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/13933] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Yin, Linsheng,Zhang, Chong. Arithmetic of quasi-cyclotomic fields[J],2010, 2010. |
APA | Yin, Linsheng,&Zhang, Chong.(2010).Arithmetic of quasi-cyclotomic fields.. |
MLA | Yin, Linsheng,et al."Arithmetic of quasi-cyclotomic fields".(2010). |
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