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GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS

Published online by Cambridge University Press:  25 February 2013

BAOHUA XIE ,
JIEYAN WANG  and
YUEPING JIANG
BAOHUA XIE
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China e-mails: xiexbh@gmail.com, jywang@hnu.edu.cn, ypjiang731@163.com
JIEYAN WANG
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China e-mails: xiexbh@gmail.com, jywang@hnu.edu.cn, ypjiang731@163.com
YUEPING JIANG
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China e-mails: xiexbh@gmail.com, jywang@hnu.edu.cn, ypjiang731@163.com
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Abstract

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Little is known about the generators system of the higher dimensional Picard modular groups. In this paper, we prove that the higher dimensional Eisenstein–Picard modular group PU(3, 1;ℤ[ω3]) in three complex dimensions can be generated by four given transformations.

Keywords

Primary 32M0522E40Secondary 32M15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 3 , September 2013 , pp. 645 - 654
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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