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On a question of Brendle and Benson

Mustafa Korkmaz
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Abstract

In this note we prove that there is no constant $C$, depending on the genus of the surface, such that every element in the mapping class group can be written as a product of at most $C$ torsion elements, answering a question of T. E. Brendle and B. Farb in the negative.

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Mustafa Korkmaz. 2003-07-11. On a question of Brendle and Benson. https://arxiv.org/abs/math/0307146

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