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arXiv · 1405.3554

Some applications of H\"older's theorem in groups of analytic diffeomorphisms of 1-manifolds

Azer Akhmedov·Michael P. Cohen
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Abstract

We obtain a simple obstruction to embedding groups into the analytic diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into $\mathrm{Diff}_{+}^{\omega }(\mathbb{S}^1)$. We also prove that a branch group does not embed into $\mathrm{Diff}_{+}^{\omega }(\mathbb{S}^1)$.

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Azer Akhmedov, Michael P. Cohen. 2014-05-14. Some applications of H\"older's theorem in groups of analytic diffeomorphisms of 1-manifolds. https://arxiv.org/abs/1405.3554

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