On a question of Brendle and Benson

Mathematics – Geometric Topology

Scientific paper

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Added a new section. Corrected some tipos. Now 3 pages

Scientific paper

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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