Extension of H\"older's Theorem in Diff_{+}^{1+\epsilon}(I)

Azer Akhmedov

doi:10.1017/etds.2014.132

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arXiv · 1308.0250

Extension of H\"older's Theorem in Diff_{+}^{1+\epsilon}(I)

Azer Akhmedov

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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.

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BibTeX RIS

Azer Akhmedov. 2013-08-01. Extension of H\"older's Theorem in Diff_{+}^{1+\epsilon}(I). https://doi.org/10.1017/etds.2014.132

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