Some properties of orders of quaternion algebras with regard to the discrete norm

0463473 - ÚVGZ 2017 RIV CZ eng J - Článek v odborném periodiku
Horníček, J. - Kureš, M. - Macálková, Lenka
Some properties of orders of quaternion algebras with regard to the discrete norm.
Mathematica Bohemica. Roč. 141, č. 3 (2016), s. 385-405. ISSN 0862-7959
Grant CEP: GA MŠMT(CZ) LO1415; GA MŠMT(CZ) LM2010007
Institucionální podpora: RVO:67179843
Klíčová slova: order in an imaginary quadratic field * order in a quaternion algebra * discretely normed ring * isomorphism * primitive algebra
Obor OECD: Applied mathematics

Quaternion algebras $(\frac{-1,b}{\mathbb{Q}})$ are investigated and isomorphisms between them are described. Furthermore, the orders of these algebras are presented and the uniqueness of the discrete norm for such orders is proved.
Trvalý link: http://hdl.handle.net/11104/0262666