No abstract

Let A be a quaternion algebra over a number field F , and O be an O F -order of full rank in A. Let K be a quadratic field extension of F that embeds into A, and B be an O F -order in K. Suppose that O is a Bass order that is well-behaved at all the dyadic primes of F . We provide a necessary and sufficient condition for B to be optimally spinor selective for the genus of O. This partially generalizes previous results on optimal (spinor) selectivity by C. Maclachlan [Optimal embeddings in quaternion algebras.