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PROPERTY (FA) OF THE GAUSS–PICARD MODULAR GROUP

Published online by Cambridge University Press:  15 March 2011

JIEYAN WANG
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, PR China (email: [email protected])
BAOHUA XIE*
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, PR China (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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In this note, we prove that the Gauss–Picard modular group PU(2,1;Θ1) has Property (FA). Our result gives a positive answer to a question by Stover [‘Property (FA) and lattices in SU(2,1)’, Internat. J. Algebra Comput.17 (2007), 1335–1347] for the group PU(2,1;Θ1).

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

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

References

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