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Free Groups Generated by Two Heisenberg Translations

Published online by Cambridge University Press:  20 November 2018

BaoHua Xie ,
JieYan Wang  and
YuePing Jiang
BaoHua Xie
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China e-mail: xiexbh@gmail.comjywang@hnu.edu.cnypjiang731@163.com
JieYan Wang
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China e-mail: xiexbh@gmail.comjywang@hnu.edu.cnypjiang731@163.com
YuePing Jiang
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China e-mail: xiexbh@gmail.comjywang@hnu.edu.cnypjiang731@163.com
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Abstract.

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In this paper, we will discuss the groups generated by two Heisenberg translations of $\text{PU}\left( 2,1 \right)$ and determine when they are free.

Keywords

30F4022E4020H10free groupHeisenberg groupcomplex triangle group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 4 , 01 December 2013 , pp. 881 - 889
Copyright
Copyright © Canadian Mathematical Society 2013

References

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