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

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

2010-05-20

arxiv.org/abs/1005.3578v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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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