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arXiv · 1610.08488

Structural properties of dendrite groups

Bruno Duchesne·Nicolas Monod
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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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Bruno Duchesne, Nicolas Monod. 2016-10-26. Structural properties of dendrite groups. https://doi.org/10.1090/tran/7347

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