Finiteness of mapping class groups

Sungbok Hong, Jin Yang

Research output: Contribution to journalArticle

Abstract

We prove that the mapping class group of a non-Haken orientable irreducible 3-manifold is finite and we show that the quotient group of the mapping class group by the rotation group is virtually torsion-free if the manifold does not have 2-sphere boundary components.

Original languageEnglish
Pages (from-to)1297-1302
Number of pages6
JournalBulletin of the Korean Mathematical Society
Volume50
Issue number4
DOIs
Publication statusPublished - 2013 Nov 11

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Mapping Class Group
Finiteness
Rotation Group
Quotient group
Torsion-free

Keywords

  • 3-manifold
  • Mapping class group
  • Non-haken manifold

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Finiteness of mapping class groups. / Hong, Sungbok; Yang, Jin.

In: Bulletin of the Korean Mathematical Society, Vol. 50, No. 4, 11.11.2013, p. 1297-1302.

Research output: Contribution to journalArticle

Hong, Sungbok ; Yang, Jin. / Finiteness of mapping class groups. In: Bulletin of the Korean Mathematical Society. 2013 ; Vol. 50, No. 4. pp. 1297-1302.
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