This article is cited in 5 papers

On a class of two-dimensional Fedorov groups

V. S. Makarov


Abstract: 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.

UDC: 519.4

MSC: 20F22, 11Pxx, 52Bxx, 20B30

Received: 07.07.1965

 English version: Mathematics of the USSR-Izvestiya, 1967, 1:3, 515–524

Bibliographic databases:

• 
•