On periodic groups of homeomorphisms of the 2-dimensional sphere
Group Theory
2018-12-19 v1 Dynamical Systems
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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Cite
@article{arxiv.1712.02197,
title = {On periodic groups of homeomorphisms of the 2-dimensional sphere},
author = {Jonathan Conejeros},
journal= {arXiv preprint arXiv:1712.02197},
year = {2018}
}
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14 pages