The mapping class group of a punctured surface is generated by three elements

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Abstract

Let Mod (∑g,p) be the mapping class group of a closed oriented surface ∑g,p of genus g ≥1 with p punctures. Wajnryb proved that Mod(∑g,0) is generated by two elements. Korkmaz proved that one of these generators may be taken to be a Dehn twist. Korkmaz also proved the same result in the case of Mod(∑g,1). For p ≥ 2, we prove that Mod(∑g,p) is generated by three elements.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalHiroshima Mathematical Journal
Volume41
Issue number1
Publication statusPublished - Mar 1 2011
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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