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8rankoftheclassgroupandisotropyindex
Lu Qing
2015
Source Publicationsciencechinamathematics
ISSN1674-7283
Volume58Issue:7Pages:1433
AbstractSuppose F = Q((–p1 · · · pt)(1/2)) is an imaginary quadratic number field with distinct primes p1, . . ., pt, where pi ≡ 1 (mod 4) (i = 1, . . ., t – 1) and pt ≡ 3 (mod 4). We express the possible values of the 8-rank r8 of the class group of F in terms of a quadratic form Q over F_2 which is defined by quartic symbols. In particular, we show that r8 is bounded by the isotropy index of Q.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/36477
Collection中国科学院数学与系统科学研究院
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
Lu Qing. 8rankoftheclassgroupandisotropyindex[J]. sciencechinamathematics,2015,58(7):1433.
APA Lu Qing.(2015).8rankoftheclassgroupandisotropyindex.sciencechinamathematics,58(7),1433.
MLA Lu Qing."8rankoftheclassgroupandisotropyindex".sciencechinamathematics 58.7(2015):1433.
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