The Rank of the 2-Class Group of Some Fields with LargeDegree

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摘要 Let n≥3 be an integer and d an odd square-free integer.We compute the rank of the 2-class group of some fields of the form L_(n,d)=Q(ζ_(2^(n)),√d)when all the prime divisors of d are congruent to±3(mod 8)or 9(mod 16).

作者 Mohamed Mahmoud Chems-Eddin

机构地区 Department of Mathematics

出处《Algebra Colloquium》 SCIE CSCD 2022年第2期181-188,共8页 代数集刊（英文版）

关键词 cyclotomic Z_(2)-extension 2-rank 2-class group

分类号 O15 [理学—数学]

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The Rank of the 2-Class Group of Some Fields with LargeDegree

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