Rotation numbers in Thompson-Stein groups and applications

被引：15

作者：

Liousse, Isabelle ^{[1
]}

机构：

[1] Univ Lille 1, UFR Math, Lab Paul Painleve, CNRS,UMR Au 8524, F-59655 Villeneuve Dascq, France

来源：

GEOMETRIAE DEDICATA | 2008年 / 131卷 / 01期

关键词：

PL homeomorphisms of the circle; rotation number; Thompson groups; automorphisms;

D O I：

10.1007/s10711-007-9216-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the rationality properties of rotation numbers for some groups of piecewise linear homeomorphisms of the circle, the Thompson-Stein groups. We prove that for many Thompson-Stein groups the outer automorphism group has order 2. As another application, we construct Thompson-Stein groups which do not admit non trivial representations in Diff(9) (S-1).

引用

页码：49 / 71

页数：23

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[2]

BIERI R, GROUPS HOMEOMORPHISM

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