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arXiv · 1712.02197

On periodic groups of homeomorphisms of the 2-dimensional sphere

Jonathan Conejeros
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Abstract

We prove that every finitely-generated group of homeomorphisms of the 2-dimensional sphere all of whose elements have a finite order which is a power of 2 and so that there exists a uniform bound for the order of group elements is finite. We prove a similar result for groups of area-preserving homeomorphisms without the hypothesis that the orders of group elements are powers of 2 provided there is an element of even order.

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Jonathan Conejeros. 2017-12-06. On periodic groups of homeomorphisms of the 2-dimensional sphere. https://doi.org/10.2140/agt.2018.18.4093

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