Glasnik Matematicki, Vol. 56, No. 1 (2021), 63-78.

ON QUATERNION ALGEBRAS OVER THE COMPOSITE OF QUADRATIC NUMBER FIELDS

Vincenzo Acciaro, Diana Savin, Mohammed Taous and Abdelkader Zekhnini

Dipartimento di Economia, Università di Chieti-Pescara, Viale della Pineta, 4, 65127 Pescara, Italy
e-mail: v.acciaro@unich.it

Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu street 50, Braşov 500091, Romania
e-mail: diana.savin@unitbv.ro & dianet72@yahoo.com

Department of Mathematics, Faculty of Sciences and Technology, Moulay Ismail University, Errachidia, Morocco
e-mail: taousm@hotmail.com

Department Mathematics and Informatics, Sciences Faculty, Oujda, Mohammed First University, Nador, Morocco
e-mail: zekha1@yahoo.fr

Abstract.   Let p and q be two positive prime integers. In this paper we obtain a complete characterization of division quaternion algebras HK(p, q) over the composite K of n quadratic number fields.

2010 Mathematics Subject Classification.   11R04, 11R11, 11R21, 11R32, 11R52, 11S15, 11R37, 11R29, 11A41, 11F85

Key words and phrases.   Quaternion algebras, quadratic fields, biquadratic fields, composite of quadratic fields, ramification theory in algebraic number fields

Full text (PDF) (access from subscribing institutions only)

https://doi.org/10.3336/gm.56.1.05

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