Finiteness of mapping class groups
- Resource Type
- Article
- Authors
- 홍성복; 양진
- Source
- 대한수학회보, 50(4), pp.1297-1302 Jul, 2013
- Subject
- 수학
- Language
- English
- ISSN
- 2234-3016
1015-8634
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.