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GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP

Part of: Automorphic functions Complex spaces with a group of automorphisms

Published online by Cambridge University Press:  07 February 2012

JIEYAN WANG ,
YINGQING XIAO  and
BAOHUA XIE
JIEYAN WANG
Affiliation:
College of Mathematics and Economics, Hunan University, Changsha 410082, PR China (email: jywang@hnu.edu.cn)
YINGQING XIAO*
Affiliation:
College of Mathematics and Economics, Hunan University, Changsha 410082, PR China (email: ouxyq@yahoo.cn)
BAOHUA XIE
Affiliation:
College of Mathematics and Economics, Hunan University, Changsha 410082, PR China (email: xiebh@gmail.com)
*
✉For correspondence; e-mail: ouxyq@yahoo.cn
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Abstract

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We prove that the Eisenstein–Picard modular group SU(2,1;ℤ[ω3]) can be generated by four given transformations.

Keywords

complex hyperbolic spacePicard modular group

MSC classification

Secondary: 32M05: Complex Lie groups, automorphism groups acting on complex spaces 32M15: Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 3 , December 2011 , pp. 421 - 429
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

Footnotes

This work was partially supported by The National Natural Science Foundation of China (No. 11071059). Xie was also supported by Hunan University (No. 531107040021).

References

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