An embedding theorem for Eichler orders

نویسندگان

  • Xuejun Guo
  • Hourong Qin
چکیده

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 O be an order in a quadratic extension L of K: The Eichler orders of B which admit an embedding of O are determined. This is a generalization of Chinburg and Friedman’s embedding theorem for maximal orders. r 2004 Elsevier Inc. All rights reserved. MSC: 11R52; 20G30; 11S45

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تاریخ انتشار 2004