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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Normal subgroups of $PSL_2(Z[\sqrt {-3}])$


Author: Roger C. Alperin
Journal: Proc. Amer. Math. Soc. 124 (1996), 2935-2941
MSC (1991): Primary 20E99, 20H25
MathSciNet review: 1340373
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Abstract: We classify the normal subgroups of $PSL_2(Z[\sqrt {-3}])$ of index less than 960; they are all congruence subgroups.


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Additional Information

Roger C. Alperin
Affiliation: Department of Mathematics and Computer Science, San Jose State University, San Jose, California 95192
Email: alperin@math.sjsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03429-6
PII: S 0002-9939(96)03429-6
Keywords: Triangle of groups, congruence subgroup, property FA
Received by editor(s): February 7, 1995
Additional Notes: The author’s research was supported by NSA and NSF
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1996 American Mathematical Society