Geometry & Topology
- Geom. Topol.
- Volume 16, Number 3 (2012), 1393-1411.
All finite groups are involved in the mapping class group
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 .
Geom. Topol., Volume 16, Number 3 (2012), 1393-1411.
Received: 22 September 2011
Revised: 11 May 2012
Accepted: 5 March 2012
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20F38: Other groups related to topology or analysis
Secondary: 57R56: Topological quantum field theories
Masbaum, Gregor; Reid, Alan W. All finite groups are involved in the mapping class group. Geom. Topol. 16 (2012), no. 3, 1393--1411. doi:10.2140/gt.2012.16.1393. https://projecteuclid.org/euclid.gt/1513732440