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On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings
In this paper, we shall give explicit Z -basis of certain maximal orders of definite quaternion algebras over the rational number field Q (See Theorems below). We shall also give some remarks on symmetric maximal orders in Ponomarev [9] and Hashimoto [6] (Proposition 4.3). More precise contents are as follows. …