Generating the mapping class group by torsion elements of small order

2009/11/26 by Monden, Naoyuki · 1 citation
#20F65 #57M07 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0911.5080

Abstract

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.

Cited by

• Minimal Generation of Mapping Class Groups: A Survey of the Orientable Case

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