Abstract
Let and let Gm be the group generated by A and the transpose of A. The problem of determining complex numbers m such that Gm is a free group had been studied by several authors [1, 2, 3]. In this note we characterize those rational values of m for which Gm is torsion free.
Publisher
Canadian Mathematical Society
Cited by
3 articles.
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1. Freeness and -arithmeticity of rational Möbius groups;Computational Aspects of Discrete Subgroups of Lie Groups;2023
2. Torsion free groups generated by a pair of rational parabolic Möbius transformations;Bulletin of the Australian Mathematical Society;2000-02
3. Free semigroups of 2 × 2 matrices;Pacific Journal of Mathematics;1978-07-01