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Finite arithmetic subgroups of GLn, V

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
Yoshiyuki Kitaoka*
Affiliation:
Graduate School of Polymathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-01, Japan, [email protected]
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Abstract.

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Let K be a finite Galois extension of the rational number field Q and G a Gal(K/Q)-stable finite subgroup of GLn(OK). We have shown that G is of A-type in several cases under some restrictions on K. In this paper, we show that it is true for n = 2 without any restrictions on K.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 146 , June 1997 , pp. 131 - 148
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

[1] Kitaoka, Y., Finite arithmetic subgroups of GLn , II, Nagoya Math. J., 77 (1980), 137–143.Google Scholar
[2] Kitaoka, Y., Arithmetic of quadratic forms, Cambridge University Press, 1993.CrossRefGoogle Scholar
[3] Kitaoka, Y., Finite arithmetic subgroups of GLn, III, Proc. Indian Acad. Sci., 104 (1994), 201–206.Google Scholar
[4] Kitaoka, Y. and Suzuki, H., Finite arithmetic subgroups of GLn, IV, Nagoya Math. J., 142 (1996), 183–188.CrossRefGoogle Scholar