Abstract
We prove that the group of diffeomorphisms of the interval [0, 1] contains surface groups whose action on (0, 1) has no global fix point and such that only countably many points of the interval (0, 1) have non-trivial stabiliser.
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Marquis, L., Souto, J. Surface groups of diffeomorphisms of the interval. Isr. J. Math. 227, 379–396 (2018). https://doi.org/10.1007/s11856-018-1736-7
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DOI: https://doi.org/10.1007/s11856-018-1736-7