Abstract
A commutative order in a central simple algebra over a number field is said to be selective if it embeds in some, but not all, maximal orders in the algebra. We completely characterize selective orders in central division algebras, of dimension 9 or greater, in terms of the characterization of selective orders given by Chinburg and Friedman in the quaternionic case.
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Arenas-Carmona, L. Selectivity in division algebras. Arch. Math. 103, 139–146 (2014). https://doi.org/10.1007/s00013-014-0660-2
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DOI: https://doi.org/10.1007/s00013-014-0660-2