Geodesic
Dirichlet polyhedra for simplex groups of spherical, Euclidean or hyperbolic spaces
Akira Ushijima1
1 Kanazawa University, Faculty of Mathematics and Physics, Institute of Science and Engineering
Annales Fennici Mathematici, Tome 46 (2021) no. 1, pp. 123-127 Cet article a éte moissonné depuis la source Journal.fi

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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 
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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/