%0 Journal Article
%T Roots of unity in definite quaternion orders
%A Luis Arenas-Carmona
%J Mathematics
%D 2014
%I arXiv
%X A commutative order in a quaternion algebra is called selective if it is embeds into some, but not all, the maximal orders in the algebra. It is known that a given quadratic order over a number field can be selective in at most one indefinite quaternion algebra. Here we prove that the order generated by a cubic root of unity is selective for any definite quaternion algebra over the rationals with a type number 3 or larger. The proof extends to a few other closely related orders.
%U http://arxiv.org/abs/1404.3244v1