Extension of Hölder's Theorem in Diff_{+}^{1+ε}(I)

Abstract

We prove that if Γis subgroup of Diff_{+}^{1+ε}(I) and N is a natural number such that every non-identity element of Γhas at most N fixed points then Γis solvable. If in addition Γis a subgroup of Diff_{+}^{2}(I) then we can claim that Γis metaabelian.

arXiv commentSubmitted version (Submitted on October 06, 2013). 13 pages, 2 figures

Cited by in corpus (1)

• ${\mathrm{PL}}_{+}(I)$ is not a Polish group