Quotients of mapping class groups from $\operatorname {Out}(F_n)$
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- by Khalid Bou-Rabee and Christopher J. Leininger
- Proc. Amer. Math. Soc. 146 (2018), 5091-5096
- DOI: https://doi.org/10.1090/proc/14210
- Published electronically: September 17, 2018
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Abstract:
We give a short proof of Masbaum and Reid’s result that mapping class groups involve any finite group, appealing to free quotients of surface groups and a result of Gilman, following Dunfield–Thurston.References
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Bibliographic Information
- Khalid Bou-Rabee
- Affiliation: Department of Mathematics, City College of New York, CUNY, New York, New York 10031
- MR Author ID: 888620
- Email: khalid.math@gmail.com
- Christopher J. Leininger
- Affiliation: Department of Mathematics, University of Illinois Urbana-Champaign, Urbana, Illinois 61801
- MR Author ID: 688414
- Email: c.j.leininger95@gmail.com
- Received by editor(s): December 5, 2017
- Received by editor(s) in revised form: March 27, 2018
- Published electronically: September 17, 2018
- Additional Notes: The first author was supported in part by NSF grant DMS-1405609
The second author was supported in part by NSF grant DMS-1510034. - Communicated by: David Futer
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 5091-5096
- MSC (2010): Primary 20E26, 20F65
- DOI: https://doi.org/10.1090/proc/14210
- MathSciNet review: 3866848