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 Nov 11 |
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Keywords
- 3-manifold
- Mapping class group
- Non-haken manifold
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Finiteness of mapping class groups. / Hong, Sungbok; Yang, Jin.
In: Bulletin of the Korean Mathematical Society, Vol. 50, No. 4, 11.11.2013, p. 1297-1302.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Finiteness of mapping class groups
AU - Hong, Sungbok
AU - Yang, Jin
PY - 2013/11/11
Y1 - 2013/11/11
N2 - 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.
AB - 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.
KW - 3-manifold
KW - Mapping class group
KW - Non-haken manifold
UR - http://www.scopus.com/inward/record.url?scp=84887079796&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84887079796&partnerID=8YFLogxK
U2 - 10.4134/BKMS.2013.50.4.1297
DO - 10.4134/BKMS.2013.50.4.1297
M3 - Article
VL - 50
SP - 1297
EP - 1302
JO - Bulletin of the Korean Mathematical Society
JF - Bulletin of the Korean Mathematical Society
SN - 1015-8634
IS - 4
ER -