Discrete Groups of Motions
- 1 January 1960
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 12, 415-426
- https://doi.org/10.4153/cjm-1960-036-8
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.Keywords
This publication has 3 references indexed in Scilit:
- Note on a theorem of SchreierProceedings of the American Mathematical Society, 1957
- Generators and Relations for Discrete GroupsPublished by Springer Nature ,1957
- On the Intersection of Finitely Generated Free GroupsJournal of the London Mathematical Society, 1954