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.
@article{IM2_1967_1_3_a1,
author = {V. S. Makarov},
title = {On a class of two-dimensional {Fedorov} groups},
journal = {Izvestiya. Mathematics },
pages = {515--524},
publisher = {mathdoc},
volume = {1},
number = {3},
year = {1967},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a1/}
}
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/