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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 free group, Heisenberg group, complex triangle group
MSC Classifications: 30F40, 22E40, 20H10 show english descriptions Kleinian groups [See also 20H10]
Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
Fuchsian groups and their generalizations [See also 11F06, 22E40, 30F35, 32Nxx]
30F40 - Kleinian groups [See also 20H10]
22E40 - Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
20H10 - Fuchsian groups and their generalizations [See also 11F06, 22E40, 30F35, 32Nxx]
 

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