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	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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