Arithmetic of quaternion algebras - by Abdalla Said Nimer.
Abstract
If K is a field whose characteristic is not 2, a quaternion algebra over K is a an algebra over the basis [1,i,j,ij] where i and j satisfy the relations: i2=a j2 =b ij=-ji for a,b in K*. It turns out that for general K, such a quaternion algebra is
Description
Thesis (M.S.)--American University of Beirut, Department of Mathematics, 2011.;"Advisor : Dr. Kamal, Khuri-Makdisi, Professor, Mathematics Members of Committee : Dr. Hazar Abu-Khuzam, Professor, Mathematics Dr. Monique Azar, Assistant Professor, Mathema
Includes bibliographical references (leaf 83).
Includes bibliographical references (leaf 83).