Generating the mapping class group of a punctured surface by involutions

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Abstract

Let Σg, b denote a closed oriented surface of genus g with b punctures and let Mod(Σg, b) denote its mapping class group. Kassabov showed that Mod(Σg, b) is generated by 4 involutions if g > 7 or g = 7 and b is even, 5 involutions if g > 5 or g = 5 and b is even, and 6 involutions if g > 3 or g = 3 and b is even. We proved that Mod(Σg, b) is generated by 4 involutions if g = 7 and b is odd, and 5 involutions if g = 5 and b is odd.

Original languageEnglish
Pages (from-to)303-312
Number of pages10
JournalTokyo Journal of Mathematics
Volume34
Issue number2
DOIs
Publication statusPublished - Jan 1 2017
Externally publishedYes

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Mapping Class Group
Involution
Odd
Denote
Genus
Closed

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Generating the mapping class group of a punctured surface by involutions. / Monden, Naoyuki.

In: Tokyo Journal of Mathematics, Vol. 34, No. 2, 01.01.2017, p. 303-312.

Research output: Contribution to journalArticle

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