On orbits of fractional linear transformations |
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| Authors: | L. Makar Limanov |
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| Affiliation: | 1. Department of Mathematics and Computer Science , Bar-Ilan University , Ramat-Gan, 52900, Israel;2. Department of Mathematics , Wayne State University , Detroit, Michigan, 48202, USA |
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| Abstract: | Let K be a field and let σ(t) be an automorphism of k(t) of infinite order. In his paper [1] Gerard Cauchon asked whether the transformation which is naturally defined on kU∞ by σ has infinitely many infinite orbits. This is indeed so. |
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