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Spherical coxeter groups and hyperelliptic 3-manifolds

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Abstract

Reflection groups of Coxeter polyhedra in three-dimensional Thurston geometries are examined. For a wide class of Coxeter groups, the existence of subgroups of finite index that uniformize hyperelliptic 3-manifolds is established.

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Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 173–177, August, 1999.

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Vesnin, A.Y., Mednykh, A.D. Spherical coxeter groups and hyperelliptic 3-manifolds. Math Notes 66, 135–138 (1999). https://doi.org/10.1007/BF02674867

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  • DOI: https://doi.org/10.1007/BF02674867

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