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FINITENESS OF MAPPING CLASS GROUPS
- Authors
- Hong, Sungbok; Yang, Jin
- Issue Date
- 7월-2013
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- non-Haken manifold; mapping class group; 3-manifold
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.4, pp.1297 - 1302
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 50
- Number
- 4
- Start Page
- 1297
- End Page
- 1302
- ISSN
- 1015-8634
- 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.
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