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In response to your first question (a book that studies the set of HQ), there is a book from Hurwitz, in German, Vorlesungen über die Zahlentheorie der Quaternionen, Verlag von Julius Springer, 1919, available here
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There is a book from Hurwitz, in German, Vorlesungen über die Zahlentheorie der Quaternionen, Verlag von Julius Springer, 1919, available here |
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