DISCRETENESS BY USE OF A TEST MAP

Title & Authors
DISCRETENESS BY USE OF A TEST MAP
Li, Liulan; Fu, Xi;

Abstract
It is well known that one could use a fixed loxodromic or parabolic element of a non-elementary group $\small{G{\subset}M(\bar{\mathbb{R}}^n)}$ as a test map to test the discreteness of G. In this paper, we show that a test map need not be in G. We also construct an example to show that the similar result using an elliptic element as a test map does not hold.
Keywords
discreteness;non-elementary M$\small{\ddot{o}}$bius group;test map;
Language
English
Cited by
1.
ON DISCRETENESS OF MÖBIUS GROUPS,;

대한수학회보, 2013. vol.50. 3, pp.747-752
1.
ON DISCRETENESS OF MÖBIUS GROUPS, Bulletin of the Korean Mathematical Society, 2013, 50, 3, 747
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