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ALGEBRAIC CONVERGENCE THEOREMS OF COMPLEX KLEINIAN GROUPS

Published online by Cambridge University Press:  02 August 2012

WENSHENG CAO
Affiliation:
School of Mathematics and Computational Science, Wuyi University, Jiangmen, Guangdong 529020, P.R. China e-mail: wenscao@yahoo.com.cn
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Abstract

Let {Gr,i} be a sequence of r-generator subgroups of U(1,n; ℂ) and Gr be its algebraic limit group. In this paper, two algebraic convergence theorems concerning {Gr,i} and Gr are obtained. Our results are generalisations of their counterparts in the n-dimensional sense-preserving Möbius group.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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