Geodesic
Discrete linear groups generated by reflections
Izvestiya. Mathematics , Tome 5 (1971) no. 5, pp. 1083-1119

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We investigate linear groups generated by reflections in the faces of a convex polyhedral cone and operating discretely on an open convex cone. These groups generalize the discrete groups of motions in simply connected spaces of constant curvature, generated by reflection. Like the latter, they turn out to be Coxeter groups. 
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     author = {\`E. B. Vinberg},
     title = {Discrete linear groups generated by reflections},
     journal = {Izvestiya. Mathematics },
     pages = {1083--1119},
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     volume = {5},
     number = {5},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a6/}
}
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È. B. Vinberg. Discrete linear groups generated by reflections. Izvestiya. Mathematics , Tome 5 (1971) no. 5, pp. 1083-1119. http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a6/