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 language | English |
|---|---|
| Pages (from-to) | 1297-1302 |
| Number of pages | 6 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 50 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2013 |
Keywords
- 3-manifold
- Mapping class group
- Non-haken manifold
ASJC Scopus subject areas
- Mathematics(all)
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Hong, S., & Yang, J. (2013). Finiteness of mapping class groups. Bulletin of the Korean Mathematical Society, 50(4), 1297-1302. https://doi.org/10.4134/BKMS.2013.50.4.1297