Generating the mapping class group by torsion elements of small order

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3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)41-62
Number of pages22
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume154
Issue number1
DOIs
Publication statusPublished - Jan 1 2013
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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