Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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FINITENESS OF MAPPING CLASS GROUPS

  • Hong, Sungbok (Department of Mathematics Korea University) ;
  • Yang, Jin (Department of Mathematics Korea University)
  • Received : 2012.09.25
  • Published : 2013.07.31
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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.

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References

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