Geodesic
Four series of hyperbolic space groups with simplicial domains, and their supergroups
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 2, p. 303 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Hyperbolic space groups are isometry groups, acting discontinuously on the hyperbolic 3-space with compact fundamental domain. One possibility to classify them is to look for fundamental domains of these groups. Here are considered supergroups for four series of groups with simplicial fundamental domains. Considered simplices, denoted in [9] by $T_{19}$, $T_{46}$, $T_{59}$, belong to family F12, while $T_{31}$ belongs to F27.
Classification : 51M20 52C22 20H15 20F55
Keywords: Hyperbolic space group, Fundamental domain, Simplex, Trunc-simplex, Poincarè algorithm, Symmetries 
@article{KJM_2011_35_2_a8,
     author = {Milica Stojanovi\'c},
     title = {Four series of hyperbolic space groups with simplicial domains, and their supergroups},
     journal = {Kragujevac Journal of Mathematics},
     pages = {303 },
     year = {2011},
     volume = {35},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2011_35_2_a8/}
}
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Milica Stojanović. Four series of hyperbolic space groups with simplicial domains, and their supergroups. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 2, p. 303 . http://geodesic.mathdoc.fr/item/KJM_2011_35_2_a8/