%0 Journal Article %T Extension of H£¿lder's Theorem in Diff_{+}^{1+¦Å}(I) %A Azer Akhmedov %J Mathematics %D 2013 %I arXiv %R 10.1017/etds.2014.132 %X 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. %U http://arxiv.org/abs/1308.0250v2