Geodesic
On periodic groups of homeomorphisms of the 2–dimensional sphere
Conejeros, Jonathan1
1 Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Santiago, Chile
Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4093-4107

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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 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 2 provided there is an element of even order.

DOI : 10.2140/agt.2018.18.4093
Classification : 20F50, 37B05, 37E30, 37E45, 57S25
Keywords: Burnside problem, surface homeomorphisms, $2$–sphere

Conejeros, Jonathan 1

1 Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Santiago, Chile 
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Conejeros, Jonathan. On periodic groups of homeomorphisms of the 2–dimensional sphere. Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4093-4107. doi: 10.2140/agt.2018.18.4093

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