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Free Groups Generated by Two Heisenberg Translations

Published:2012-12-29
Printed: Dec 2013
• BaoHua Xie,
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China
• JieYan Wang,
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China
• YuePing Jiang,
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China
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Abstract

In this paper, we will discuss the groups generated by two Heisenberg translations of $\mathbf{PU}(2,1)$ and determine when they are free.
 Keywords: free group, Heisenberg group, complex triangle group