Finiteness of mapping class groups

Sungbok Hong; Jin Yang

doi:10.4134/BKMS.2013.50.4.1297

Finiteness of mapping class groups

Sungbok Hong, Jin Yang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.4134/BKMS.2013.50.4.1297
Publication status	Published - 2013

Keywords

3-manifold
Mapping class group
Non-haken manifold

ASJC Scopus subject areas

Mathematics(all)

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title = "Finiteness of mapping class groups",

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.",

keywords = "3-manifold, Mapping class group, Non-haken manifold",

author = "Sungbok Hong and Jin Yang",

year = "2013",

doi = "10.4134/BKMS.2013.50.4.1297",

language = "English",

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AU - Hong, Sungbok

AU - Yang, Jin

PY - 2013

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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

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

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