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

2010/05/20 by Wensheng Cao, Cao, Wensheng
Mathematics · #20H10 #30F40 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:20H10 #msc:30F40

paper · pdf · doi:10.48550/arxiv.1005.3578

6 pages

arxiv created 2010/05/20 · arxiv updated 2010/05/21

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∈ G the group < f, g > is discrete, where f∈ 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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