Conjugacy classes of hyperbolic matrices in and ideal classes in an order

Author:
D. I. Wallace

Journal:
Trans. Amer. Math. Soc. **283** (1984), 177-184

MSC:
Primary 11F06; Secondary 11R80

MathSciNet review:
735415

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Abstract: A bijection is proved between -conjugacy classes of hyperbolic matrices with eigenvalues which are units in an -degree number field, and narrow ideal classes of the ring . A bijection between -conjugacy classes and the wide ideal classes, which had been known, is repeated with a different proof.

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1984-0735415-0

Article copyright:
© Copyright 1984
American Mathematical Society