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Torsion free groups generated by a pair of rational parabolic Möbius transformations
Published online by Cambridge University Press: 17 April 2009
Abstract
Let T be a subgroup of PSL (2, ℚ) generated by a pair of rational parabolic matrices P1, P2, and let ℐ be the Jøgensen number. We prove that T has a non-trivial element of finite order if and only if ℐ = 4/n2 or ℐ = 9/n2 for some non-zero integer n.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 151 - 152
- Copyright
- Copyright © Australian Mathematical Society 2000