On free discrete subgroups of \(\mathrm{Diff}(I)\)
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Publication:2211181
DOI10.2140/AGT.2010.10.2409zbMATH Open1469.37014arXiv1004.2060OpenAlexW2004192803MaRDI QIDQ2211181
Publication date: 12 November 2020
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Abstract: We prove that a free group F_2 admits a faithful discrete representation into Diff_{+}(I). We also prove that F_2 admits a faithful discrete representation into Homeo_{+}(I). Some properties of these representations have been studied. In the last section we raise several questions.
Full work available at URL: https://arxiv.org/abs/1004.2060
Geometric group theory (20F65) Free nonabelian groups (20E05) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
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