Finiteness of mapping class groups

Sungbok Hong, Jin Yang

    Research output: Contribution to journalArticlepeer-review

    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

    Keywords

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

    ASJC Scopus subject areas

    • General Mathematics

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