, Volume 104, Issue 1, pp 61-69

Discreteness and Convergence of Möbius Groups

Purchase on Springer.com

$39.95 / €34.95 / £29.95*

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

In this paper we show that one can use a fixed nontrivial Möbius transformation as a test map to test the discreteness of a nonelementary Möbius group. We also establish two theorems in algebraic convergence.