Non strongly relative hyperbolicity of some groups of Piecewise Linear homeomorphisms of the interval or the circle
Year: 2006
Type: preprint
Abstract: We prove that some groups of PL homeomorphisms of the interval or the circle, included the classical Thompson groups T and F, are not strongly relatively hyperbolic. 1 Introduction. Originally, the notion of relatively hyperbolic groups was proposed by M. Gromov in [G] and developed by B. Bowditch [B], B. Farb [F], and Osin [O]. There is now an interesting and rich literature on the subject. In this paper, we refer to Osin’s paper ([O]), for the definitions. Definition of Thompson-Stein groups.
Source: HAL
Author: Isabelle Liousse
Institution: Laboratoire Paul Painlevé
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4390833921