Generating the mapping class groups by torsions
2017 ◽
Vol 26
(07)
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pp. 1750037
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Let [Formula: see text] be a closed oriented surface of genus [Formula: see text] and let [Formula: see text] be the mapping class group. When the genus is at least 3, [Formula: see text] can be generated by torsion elements. We prove the following results: For [Formula: see text], [Formula: see text] can be generated by four torsion elements. Three generators are involutions and the fourth one is an order three element. [Formula: see text] can be generated by five torsion elements. Four generators are involutions and the fifth one is an order three element.
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2017 ◽
Vol 26
(11)
◽
pp. 1750061
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2001 ◽
Vol 10
(05)
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pp. 763-767
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2017 ◽
Vol 26
(05)
◽
pp. 1750030
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2017 ◽
Vol 26
(10)
◽
pp. 1750056
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