On a class of two-dimensional Fedorov groups
Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 515-524.

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A class $G$ of discrete groups of the Lobachevskii; plane with compact fundamental domain, which are extendible to discrete groups of Lobachevskii; space, is considered herein. It is the class of symmetry groups of normal regular partitions of the Lobachevskii; plane into equal polygons which meet in equal angles at the vertices of the partition and in which a circle can be inscribed. It is shown that for any finite set of groups in the class $G$ there is a countable class of discrete groups of Lobachevskii; space, every member of which contains all groups of the given set as subgroups.
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V. S. Makarov. On a class of two-dimensional Fedorov groups. Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 515-524. http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a1/

[1] Aleksandrov A. D., “O zapolnenii prostranstva mnogogrannikami”, Vestn. LGU, 2 (1954), 33–43 | MR

[2] Zamorzaev A. M., “O pravilnykh mnogostoronnikakh i mnogogrannikakh v prostranstve Lobachevskogo”, Uch. zap. Kishinevskogo gos. un-ta, XXXIX (1959), 195–207

[3] Venkov B. A., Delone B. N., “O pravilnykh razbieniyakh prostranstv”, Tr. 4-go Vsesoyuzn. matem. s'ezda, t. I, L., 1963, 49–55 | MR | Zbl

[4] Poincaré H., “Théorie des Groups Fuchsiens”, Acta Math., 1 (1882), 1–62 | DOI | MR | Zbl