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All
finite groups are involved in the mapping class group
Gregor Masbaum and Alan W Reid |
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Geometry & Topology 16 (2012) 1393–1411
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Abstract |
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Let denote the orientation-preserving mapping class group of the genus closed orientable surface. In this paper we show that for fixed , every finite group occurs as a quotient of a finite index subgroup of . |
Keywords
mapping class group, finite quotient, representation,
Zariski dense subgroup
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Mathematical Subject Classification 2010
Primary: 20F38
Secondary: 57R56
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References |
Publication
Received: 22 September 2011
Revised: 11 May 2012
Accepted: 5 March 2012
Published: 24 July 2012
Proposed: Benson Farb
Seconded: Ronald J Stern, Martin R Bridson
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Authors |
| Gregor Masbaum | |
| Institut de Mathématiques de Jussieu
(UMR 7586 du CNRS) Case 247 4 pl. Jussieu 75252 Cedex 5 Paris France |
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| http://www.math.jussieu.fr/~masbaum/ | |
| Alan W Reid | |
| Department of Mathematics University of Texas 1 Station C1200 Austin TX 78712-0257 USA |
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| http://www.ma.utexas.edu/users/areid/ | |
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