Group actions on one-manifolds, II: Extensions of H\"{o}lder's Theorem
Dynamical Systems
2007-05-23 v2 Group Theory
Abstract
We study groups of homeomorphisms of R, each of whose elements have at most one fixed point. In particular we prove that any such group of C^2 diffeomorphisms is topologically conjugate to an affine group.
Cite
@article{arxiv.math/0102025,
title = {Group actions on one-manifolds, II: Extensions of H\"{o}lder's Theorem},
author = {Benson Farb and John Franks},
journal= {arXiv preprint arXiv:math/0102025},
year = {2007}
}
Comments
references added, new theorem added :topological characterization of affine groups on R