The spinor class field for a genus of orders of maximal rank in a quaternion algebra a over a number field K is an abelian extension Σ/K provided with a distance function associating elements of the corresponding Galois ...

© 2018 Elsevier Inc. We apply the theory of Bruhat–Tits trees to the study of optimal embeddings from orders of rank two and three to quaternion algebras. Specifically, we determine how many conjugacy classes of global ...

We explicitly compute the largest subtree, in the local Bruhat-Tits tree for PSL2(k), whose vertices correspond to maximal orders containing a fixed order generated by a pair of orthogonal pure quaternions. In other words, ...

Calcularemos el cuerpo de clases espinorial para el género de cualquier orden que puede ser escrito como la intersección de dos órdenes maximales, en un álgebra central simple de dimensión arbitraria. En el caso de ...

Let k be a local field and let be the two-by-two matrix algebra over k. In our previous work, we developed a theory that allows the computation of the set of maximal orders in containing a given suborder. This set is given ...