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An embedding theorem for Eichler orders
Authors:Xuejun Guo  Hourong Qin
Affiliation:a Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing, Jiangsu 210093, People's Republic of China
b Morningside Center of Mathematics, Beijing 100080, China
Abstract:Let B be a quaternion algebra over number field K. Assume that B satisfies the Eichler condition (i.e., there is at least one archimedean place which is unramified in B). Let Ω be an order in a quadratic extension L of K. The Eichler orders of B which admit an embedding of Ω are determined. This is a generalization of Chinburg and Friedman's embedding theorem for maximal orders.
Keywords:11R52   20G30   11S45
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