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Discrete Groups of Motions
- Source :
- Canadian Journal of Mathematics. 12:415-426
- Publication Year :
- 1960
- Publisher :
- Canadian Mathematical Society, 1960.
-
Abstract
- This paper deals with the discrete groups of rigid motions of the hyperbolic plane. It is known (12) that the finitely generated, orientation-preserving groups have the following presentations:Generators: .Defining relations: where km = ambmam-1bm-1. We shall denote this group by F(p; n1, … , nd; r).In particular, the finitely generated free groups are contained among these. Indeed, one purpose of this paper is to indicate some geometrical methods for investigating free groups.
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 12
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........c19cfb79dd538a068a020e3863aa46aa