Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T13:57:58.853Z Has data issue: false hasContentIssue false
  • English
  • Français

On the set of discrete two-generator groups

Published online by Cambridge University Press:  01 March 2000

LINE BARIBEAU  and
THOMAS RANSFORD
LINE BARIBEAU
Affiliation:
Département de mathématiques et de statistique, Université Laval, Québec (Québec), Canada G1K 7P4
THOMAS RANSFORD
Affiliation:
Département de mathématiques et de statistique, Université Laval, Québec (Québec), Canada G1K 7P4
Get access Rights & Permissions [Opens in a new window]

Abstract

A two-generator group 〈f, g〉 of Möbius maps is determined, up to conjugacy, by the numbers β = tr2(f) − 4, β′ = tr2(g) − 4 and γ = tr (fgf−1g−1) − 2, provided that γ ≠ 0. We study the subset D of C3 of those (β, β′, γ) which arise from discrete groups. In particular, we identify precisely D[setmn ]D.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 2 , March 2000 , pp. 245 - 255
Copyright
© The Cambridge Philosophical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Research supported by grants from the Natural Sciences and Engineering Research Council of Canada and the Fonds FCAR of Québec.