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On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings

Published online by Cambridge University Press:  22 January 2016

Tomoyoshi Ibukiyama
Tomoyoshi Ibukiyama*
Affiliation:
Department of Mathematics, Faculty of Science, University of Tokyo, Hongo, Tokyo, 113, Japan
*
Department of Mathematics, College of General Education, Kyushu University, Chuo-ku, Fukuoka, 810, Japan
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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. Let D be a division quaternion algebra over Q.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 88 , December 1982 , pp. 181 - 195
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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