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Discrete free products of two complex cyclic matrix groups

Published online by Cambridge University Press:  18 May 2009

Ronald J. Evans
Ronald J. Evans
Affiliation:
Mathematics Department, University of California, San Diego La Jolla, California 92093
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All 2-by-2 matrices in this paper are to be viewed as linear fractional transformations on the extended complex plane ℂ*. Let L+ and L− be the open half-planes to the right and left, respectively, of the extended imaginary axis L. Let Λ be the set of complex 2-by-2 matrices A with real trace and determinant ±1 such that A(L+) ⊂L−. Let Ω = Ω1 ∪ Ω2 ∪ Ω3 ∪ Ω4, Where

and

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 1 , January 1979 , pp. 69 - 80
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

REFERENCES

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