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Finite arithmetic subgroups of GLn, II

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
Yoshiyuki Kitaoka*
Affiliation:
Department of Mathematics, Nagoya University
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In [1] ∼ [6] the following question was treated: Let k be a totally real Galois extension of the rational number field Q, O the maximal order of k and G a finite subgroup of GL(n, O) which is stable under the operation of G(k/Q). Then does G ⊂ GL(n, Z) hold?

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 77 , February 1980 , pp. 137 - 143
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

[1] Bartels, H.-J., Zur Galoiskohomologie definiter arithmetischer Gruppen, J. reine angew. Math. 298 (1978), 89–97.Google Scholar
[2] Bartels, H.-J., Definite arithmetische Gruppen, J. reine angew. Math. 301 (1978), 27–29.Google Scholar
[3] Bartels, H.-J. and Kitaoka, Y., Endliche arithmetische Untergruppen der GLn , to appear.Google Scholar
[4] Kitaoka, Y., Scalar extension of quadratic lattices, Nagoya Math. J. 66 (1977), 139–149.CrossRefGoogle Scholar
[5] Kitaoka, Y., Scalar extension of quadratic lattices II, Nagoya Math. J. 67 (1977), 159–164.CrossRefGoogle Scholar
[6] Kitaoka, Y., Tensor products of positive definite quadratic forms IV, to appear.Google Scholar
[7] O’Meara, O. T., Introduction to quadratic forms, Springer-Verlag, Berlin, 1963.Google Scholar