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\fancyfoot[RO, LE]{\footnotesize Troisième Congrès: Algèbre, Théorie des Nombres et leurs Applications
	23-24 novembre 2018, Faculté des Sciences, Oujda, Maroc}
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\textbf{On a class of split quaternion algebras over quadratic field}\\
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Mohammed Taous\

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Moulay Ismail university. Faculty of Sciences and Technology

P.O. Box 509-Boutalamine, 52 000 Errachidia

Morocco

taousm@hotmail.com

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Joint work with: Abdelkader Zekhnini
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Let $F$ be a field with characteristic $\neq 2$, and  $\alpha$, $\beta\in F\backslash\{0\}$. ..........................................................................
\begin{thebibliography}{11}
\bibitem{Lm00}
F.~Lemmermeyer, \emph{Reciprocity Laws}, Springer Monographs in Mathematics, Springer-Verlag. Berlin 2000.
\bibitem{Sav16} D. Savin, {\em About division quaternion algebras and division symbol algebras}, {Carpathian Journal of Mathematics, 32(2) (2016), p. 233-240.}
\bibitem{Sav} D. Savin, {\em About split quaternion algebras over quadratic fields and symbol algebras of degree n}, { accepted for publication in Bull. Math. Soc. Sci. Math. Roumanie.}
\bibitem{Vig80} M-F. Vignéras, {\em Arithmétique des algèbres de quaternions}, {Lecture Notes in Math., vol. 800, Springer, Berlin, 1980.}
\bibitem{Voi} J. Voight, {\em The arithmetic of quaternion algebras}, {Preprint.}
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