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Structural properties of dendrite groups

Abstract : Let G be the homeomorphism group of a dendrite. We study the normal subgroups of G. For instance, there are uncountably many non-isomorphic such groups G that are simple groups. Moreover, these groups can be chosen so that any isometric G-action on any metric space has a bounded orbit. In particular they have the fixed point property (FH).
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Submitted on : Wednesday, July 15, 2020 - 9:02:45 AM
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Bruno Duchesne, Nicolas Monod. Structural properties of dendrite groups. Transactions of the American Mathematical Society, American Mathematical Society, 2019, 371 (3), pp.1925-1949. ⟨10.1090/tran/7347⟩. ⟨hal-01388407v2⟩



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