Please use this identifier to cite or link to this item: https://doi.org/10.1112/plms/pdt022
Title: Finite index subgroups of mapping class groups
Authors: Berrick, A.J. 
Gebhardt, V.
Paris, L.
Issue Date: 2014
Citation: Berrick, A.J., Gebhardt, V., Paris, L. (2014). Finite index subgroups of mapping class groups. Proceedings of the London Mathematical Society 108 (3) : 575-599. ScholarBank@NUS Repository. https://doi.org/10.1112/plms/pdt022
Abstract: Let g ≥ 3 and n ≥ 0, and let ℳg, n be the mapping class group of a surface of genus g with n boundary components. We prove that ℳg, n contains a unique subgroup of index 2g-1(2 g-1) up to conjugation, a unique subgroup of index 2 g-1(2g+1) up to conjugation, and the other proper subgroups of ℳg, n are of index greater than 2 g-1(2g+1). In particular, the minimum index for a proper subgroup of ℳg, n is 2g-1(2g-1). © 2013 London Mathematical Society.
Source Title: Proceedings of the London Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/103272
ISSN: 1460244X
DOI: 10.1112/plms/pdt022
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