Rotation numbers in Thompson-Stein groups and applications (Q2481647)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rotation numbers in Thompson-Stein groups and applications |
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Rotation numbers in Thompson-Stein groups and applications (English)
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14 April 2008
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The paper is devoted to the study of rationality properties of rotation numbers for some groups of piecewise linear homeomorphism of the circle, the Thompson-Stein groups. It is proved that for many Thompson-Stein groups the outer automorphism group has order 2. As another application, Thompson-Stein groups which do not admit nontrivial representation in \(\text{Diff}^9(S^1)\) are constructed.
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piecewise linear homeomorphism of the circle
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Poincaré rotation number
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Thompson groups
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automorphisms
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