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Fuchsian Subgroups of the Picard Group

Published online by Cambridge University Press:  20 November 2018

Benjamin Fine
Benjamin Fine*
Affiliation:
Fairfield University, Fairfield, Connecticut
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The Picard group Γ = PSL2 (Z(i)) is the group of linear transformations

with a, b, c, d Gaussian integers.

Γ is of interest both as an abstract group and in automorphic function theory [10]. In [10] Waldinger constructed a subgroup H of finite index which is a generalized free product, while in [1] Fine showed that T is a semidirect product with the subgroup H, contained as a subgroup of finite index in the normal factor.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 3 , 01 June 1976 , pp. 481 - 485
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Fine, B., The structure of PSL2﹛A), Annals of Mathematics Study 79 (1974).Google Scholar
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3. Karrass, A. and Solitar, D., Subgroups of infinite index in Fuchsian groups, Math. Z. 125 (1972), 59–69.Google Scholar
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