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Orbital Lattices of SL+(2, Z)

Published online by Cambridge University Press:  20 November 2018

S. A. Rankin
S. A. Rankin*
Affiliation:
University of OttawaOttawa, Ontario
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The results described in this paper were obtained in the study of analytic maps between flat two-tori. It is felt that analogous results will be obtained from a similar study of the analytic maps between higher-dimensional flat tori.

It is well-known that the multiplicative group GL+(2, Q) acts on the upper halfplane as a group of linear fractional transformations, i.e. for each element

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 1 , 01 March 1974 , pp. 87 - 90
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Boerl, A., Chowla, S., Herz, C. S., Iwasawa, K., and Serre, J-P., Seminar on Complex Multiplication, Lecture Notes in Math., no. 92, Springer-Verlag, Berlin and New York, 1966.Google Scholar
2. Helfenstein, H. G., Analytic maps between tori, Comm. Math. Helv. 45 (1970), 530-540.Google Scholar