On quaternion algebras over some extensions of quadratic number fields

被引：1

作者：

Acciaro, V ^{[1
]}

Savin, D. ^{[2
]}

Taous, M. ^{[3
]}

Zekhnini, A. ^{[4
]}

机构：

[1] Univ G dAnnunzio, Dipartimento Econ, Viale Pindaro 42, I-65127 Pescara, Italy

[2] Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu St 50, Brasov 500091, Romania

[3] Moulay Ismail Univ, Fac Sci & Technol, Dept Math, Errachidia, Morocco

[4] Mohammed Premier Univ, Sci Fac, Dept Math, Oujda, Morocco

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2021年 / 27卷 / 03期

关键词：

Quaternion algebras; Quadratic fields; Dihedral extension; Hilbert class field;

D O I：

10.1007/s40590-021-00365-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p and q be two positive primes, let l be an odd positive prime and let F be a quadratic number field. Let K be an extension of F of degree l such that K is a dihedral extension of Q, or else let K be an abelian l-extension of F unramified over F whenever l divides the class number of F. In this paper, we provide a complete characterization of division quaternion algebras H-K(p, q) over K.

引用

页数：7

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