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Generating the mapping class group by torsion elements of small order

Published online by Cambridge University Press:  03 October 2012

NAOYUKI MONDEN
NAOYUKI MONDEN*
Affiliation:
Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan. e-mail: n-monden@cr.math.sci.osaka-u.ac.jp
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Abstract

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We show that the mapping class group of a closed, connected, oriented surface of genus at least three is generated by 3 elements of order 3. Moreover, we show that the mapping class group of a closed, connected, oriented surface of genus at least three is generated and by 4 elements of order 4.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 1 , January 2013 , pp. 41 - 62
Copyright
Copyright © Cambridge Philosophical Society 2012

References

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