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Discrete groups generated by reflections in the faces of symplicial prisms in Lobachevskian spaces


The paper provides the Coxeter schemes of all the discrete groups generated by reflections in the faces of simplicial prisms the combinatory type of which is the product of a simplex and a segment in Lobachevskian spaces.

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Translated from Matematicheskie Zametki, Vol. 15, No. 1, pp. 159–164, January, 1974.

In conclusion, the author wishes to express gratitude for the direction of É. B. Vinberg.

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Kaplinskaya, I.M. Discrete groups generated by reflections in the faces of symplicial prisms in Lobachevskian spaces. Mathematical Notes of the Academy of Sciences of the USSR 15, 88–91 (1974).

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