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arXiv · 1005.3578

Discreteness criterion in SL(2,$\bc$) by a test map

Wensheng Cao
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Abstract

In the paper (Osaka J. Math. {\bf 46}: 403-409, 2009), Yang conjectured that a non-elementary subgroup $G$ of $SL(2, \bc)$ containing elliptic elements is discrete if for each elliptic element $g\in G$ the group $< f, g >$ is discrete, where $f\in SL(2,\bc)$ is a test map which is loxodromic or elliptic. The purpose of this paper is to give an affirmative answer to this question.

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Wensheng Cao. 2010-05-20. Discreteness criterion in SL(2,$\bc$) by a test map. https://arxiv.org/abs/1005.3578

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