Finite arithmetic subgroups ofGL n,III |
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| Authors: | Yoshiyuki Kitaoka |
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| Affiliation: | (1) Department of Mathematics School of Science, Nagoya University, Japan |
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| Abstract: | LetG be an algebraic group inGL n (C) defined over Q, andK an algebraic number field with the maximal orderO k . If the groupG(O k ) of rational points ofG inM n (O k ) is a finite group and if it satisfies a certain condition, which is satisfied, for example, whenK is a nilpotent extension of Q and 2 is unramified, thenG(O k ) is generated by roots of unity inK andG(Z). Dedicated to the memory of Professor K G Ramanathan |
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| Keywords: | Algebraic group algebraic number field quadratic form finite arithmetic subgroup |
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