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TEST MAPS AND DISCRETE GROUPS IN SL(2, ℂ) II

Published online by Cambridge University Press:  13 August 2013

SHIHAI YANG  and
TIEHONG ZHAO
SHIHAI YANG
Affiliation:
Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P.R. China e-mail: yang.shihai@mail.shufe.edu.cn
TIEHONG ZHAO
Affiliation:
Department of Mathematics, Hangzhou Normal University, Hangzhou 310028, Zhejiang, P.R. China e-mail: tiehongzhao@gmail.com
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Abstract

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In this paper we present a new discreteness criterion for a non-elementary subgroup G of SL(2, ℂ) containing elliptic elements by using a loxodromic (resp. an elliptic) transformation as a test map that need not be in G.

Keywords

30C6230F4020H10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 53 - 56
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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