Geodesic
Dirichlet polyhedra for simplex groups of spherical, Euclidean or hyperbolic spaces
Akira Ushijima1
1Kanazawa University, Faculty of Mathematics and Physics, Institute of Science and Engineering
Annales Fennici Mathematici, Tome 46 (2021) no. 1, pp. 123-127

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Komori and Umemoto detected combinatorial shapes of Dirichlet polyhedra for simplex groups acting on hyperbolic space. We generalize their result to simplex groups acting on Euclidean or spherical spaces.
Keywords: Simplex group, Dirichlet polyhedron

Akira Ushijima  1

1 Kanazawa University, Faculty of Mathematics and Physics, Institute of Science and Engineering 
Akira Ushijima. Dirichlet polyhedra for simplex groups of spherical, Euclidean or hyperbolic spaces. Annales Fennici Mathematici, Tome 46 (2021) no. 1, pp. 123-127. http://geodesic.mathdoc.fr/item/AFM_2021_46_1_a6/
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