Abstract
We prove that every finitely generated group of homeomorphisms of the –dimensional sphere all of whose elements have a finite order which is a power of and is such that there exists a uniform bound for the orders of the 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 provided there is an element of even order.
Citation
Jonathan Conejeros. "On periodic groups of homeomorphisms of the $2$–dimensional sphere." Algebr. Geom. Topol. 18 (7) 4093 - 4107, 2018. https://doi.org/10.2140/agt.2018.18.4093
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