Extension of H\"older's Theorem in Diff_{+}^{1+\epsilon}(I)
Group Theory
2019-02-20 v2 Dynamical Systems
Geometric Topology
Abstract
We prove that if \Gamma is subgroup of Diff_{+}^{1+\epsilon}(I) and N is a natural number such that every non-identity element of \Gamma has at most N fixed points then \Gamma is solvable. If in addition \Gamma is a subgroup of Diff_{+}^{2}(I) then we can claim that \Gamma is metaabelian.
Cite
@article{arxiv.1308.0250,
title = {Extension of H\"older's Theorem in Diff_{+}^{1+\epsilon}(I)},
author = {Azer Akhmedov},
journal= {arXiv preprint arXiv:1308.0250},
year = {2019}
}
Comments
Submitted version (Submitted on October 06, 2013). 13 pages, 2 figures