The 2-class group of certain fields of the form Q(√2, √-p, √d)

被引：0
|
作者：
Chems-Eddin, Mohamed Mahmoud [1 ]
Chillali, Abdelhakim [2 ]
El Hamam, Moha Ben Taleb [1 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Fes, Morocco
[2] Sidi Mohamed Ben Abdellah Univ, Polydisciplinary Fac Taza, Fes, Morocco
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2024年 / 134卷 / 02期
关键词：
Imaginary triquadratic number fields; 2-class group; 2-rank; CLASS NUMBER; BIQUADRATIC FIELDS; IDEALS; 2-RANK;
D O I：
10.1007/s12044-024-00787-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let p >= 5 be a prime number such that p equivalent to 3 (mod 8) and d an odd positive squarefree integer. Put K = Q(root 2, root-p, root d). In this paper, we compute the 2-rank of the class group of the fields K = Q(root 2, root-p, root d). Furthermore, we give the list of these fields whose 2-class groups are trivial, cyclic and of type (2, 2) or (2, 4).
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页数：12
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