8-rank of the class group and isotropy index

doi:10.1007/s11425-014-4898-8

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	8-rank of the class group and isotropy index
	Lu Qing 1,2
	2015-07-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	58 期号:7 页码:1433-1444
摘要	Suppose is an imaginary quadratic number field with distinct primes p (1), aEuro broken vertical bar, p (t) , where p (i) a parts per thousand 1 (mod 4) (i = 1, aEuro broken vertical bar, t - 1) and p (t) a parts per thousand 3 (mod 4). We express the possible values of the 8-rank r (8) of the class group of F in terms of a quadratic form Q over which is defined by quartic symbols. In particular, we show that r (8) is bounded by the isotropy index of Q.
关键词	imaginary quadratic field class group 8-rank isotropy index Redei matrix
DOI	10.1007/s11425-014-4898-8
语种	英语
资助项目	China Postdoctoral Science Foundation[2013M541064] ; National Natural Science Foundation of China[11371043] ; National Basic Research Program of China[2013CB834202]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000355824300004
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19904
专题	中国科学院数学与系统科学研究院
通讯作者	Lu Qing
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Lu Qing. 8-rank of the class group and isotropy index[J]. SCIENCE CHINA-MATHEMATICS,2015,58(7):1433-1444.
APA	Lu Qing.(2015).8-rank of the class group and isotropy index.SCIENCE CHINA-MATHEMATICS,58(7),1433-1444.
MLA	Lu Qing."8-rank of the class group and isotropy index".SCIENCE CHINA-MATHEMATICS 58.7(2015):1433-1444.