Generating the mapping class group by torsion elements of small order

Details Generating the mapping class group by torsion elements of small order Generating the mapping class group by torsion elements of small order

2009-11-26

arxiv.org/abs/0911.5080v2

Mathematics

Geometric Topology

19 pages, 23 figures

Scientific paper

We show that the mapping class group of a closed oriented surface of genus at
least three is generated by 3 elements of order 3 and by 4 elements of order 4.
Note that the mapping class group cannot be generated by finitely many torsion
elements of same order if genus is equal to one or two.

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