Finiteness of mapping class groups

Sungbok Hong, Jin Yang

Research output: Contribution to journalArticlepeer-review


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
Issue number4
Publication statusPublished - 2013


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

ASJC Scopus subject areas

  • Mathematics(all)


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