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GENERATING SYSTEMS OF SUBGROUPS IN SU(2, 1)

Part of: Riemann surfaces Other groups of matrices

Published online by Cambridge University Press:  07 June 2012

XI FU  and
LIULAN LI
XI FU*
Affiliation:
Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000, PR China (email: fuxi1000@yahoo.com.cn)
LIULAN LI
Affiliation:
Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, PR China (email: lanlimail2008@yahoo.com.cn)
*
✉For correspondence; e-mail: fuxi1000@yahoo.com.cn
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Abstract

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Let G⊂SU(2,1) be nonelementary and S be its minimal generating system. In this paper, we show that if S satisfies some conditions, then S can be replaced by a minimal generating system S1consisting only of loxodromic elements.

Keywords

minimal generating systemℝ-Fuchsian groupℂ-Fuchsian group

MSC classification

Secondary: 30F40: Kleinian groups 20H10: Fuchsian groups and their generalizations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 2 , April 2013 , pp. 346 - 352
Copyright
Copyright © 2012 Australian Mathematical Publishing Association Inc.

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