Geodesic
On the classification of arithmetic groups generated by reflections in Lobachevsky spaces
Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 99-123

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It is proved that there do not exist discrete arithmetic groups generated by reflections in Lobachevsky spaces if the dimension of the Lobachevsky space is greater than 15 and the degree of the ground field is sufficiently large. Bibliography: 24 titles. 
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     title = {On the classification of arithmetic groups generated by reflections in {Lobachevsky} spaces},
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V. V. Nikulin. On the classification of arithmetic groups generated by reflections in Lobachevsky spaces. Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 99-123. http://geodesic.mathdoc.fr/item/IM2_1982_18_1_a5/