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http://dx.doi.org/10.4134/BKMS.2013.50.4.1297

FINITENESS OF MAPPING CLASS GROUPS  

Hong, Sungbok (Department of Mathematics Korea University)
Yang, Jin (Department of Mathematics Korea University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1297-1302 More about this Journal
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.
Keywords
non-Haken manifold; mapping class group; 3-manifold;
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