Bull. Korean Math. Soc. 2013; 50(4): 1297-1302
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1297
Copyright © The Korean Mathematical Society.
Sungbok Hong and Jin Yang
Korea University, Korea University
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
MSC numbers: Primary 57M99
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