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.
How many tuples of group elements have a given property?
A generalization of the probability that the commutator of two group elements is equal to a given element
On varieties of groups in which all periodic groups are abelian
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