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2018 On periodic groups of homeomorphisms of the $2$–dimensional sphere
Jonathan Conejeros
Algebr. Geom. Topol. 18(7): 4093-4107 (2018). DOI: 10.2140/agt.2018.18.4093

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 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.

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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

Information

Received: 1 December 2017; Revised: 7 June 2018; Accepted: 14 July 2018; Published: 2018
First available in Project Euclid: 18 December 2018

zbMATH: 07006386
MathSciNet: MR3892240
Digital Object Identifier: 10.2140/agt.2018.18.4093

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Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 7 • 2018
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