On the smallest non-trivial quotients of mapping class groups
Kielak D, Pierro E (2020)
GROUPS GEOMETRY AND DYNAMICS 14(2): 489-512.
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Einrichtung
Abstract / Bemerkung
We prove that the smallest non-trivial quotient of the mapping class group of a connected orientable surface of genus g >= 3 without punctures is Sp(2g)(2), thus confirming a conjecture of Zimmermann. In the process, we generalise Korkmaz's results on C-linear representations of mapping class groups to projective representations over any field.
Stichworte
Mapping class groups;
finite quotients;
projective representations
Erscheinungsjahr
2020
Zeitschriftentitel
GROUPS GEOMETRY AND DYNAMICS
Band
14
Ausgabe
2
Seite(n)
489-512
ISSN
1661-7207
eISSN
1661-7215
Page URI
https://pub.uni-bielefeld.de/record/2945131
Zitieren
Kielak D, Pierro E. On the smallest non-trivial quotients of mapping class groups. GROUPS GEOMETRY AND DYNAMICS. 2020;14(2):489-512.
Kielak, D., & Pierro, E. (2020). On the smallest non-trivial quotients of mapping class groups. GROUPS GEOMETRY AND DYNAMICS, 14(2), 489-512. doi:10.4171/GGD/552
Kielak, Dawid, and Pierro, Emilio. 2020. “On the smallest non-trivial quotients of mapping class groups”. GROUPS GEOMETRY AND DYNAMICS 14 (2): 489-512.
Kielak, D., and Pierro, E. (2020). On the smallest non-trivial quotients of mapping class groups. GROUPS GEOMETRY AND DYNAMICS 14, 489-512.
Kielak, D., & Pierro, E., 2020. On the smallest non-trivial quotients of mapping class groups. GROUPS GEOMETRY AND DYNAMICS, 14(2), p 489-512.
D. Kielak and E. Pierro, “On the smallest non-trivial quotients of mapping class groups”, GROUPS GEOMETRY AND DYNAMICS, vol. 14, 2020, pp. 489-512.
Kielak, D., Pierro, E.: On the smallest non-trivial quotients of mapping class groups. GROUPS GEOMETRY AND DYNAMICS. 14, 489-512 (2020).
Kielak, Dawid, and Pierro, Emilio. “On the smallest non-trivial quotients of mapping class groups”. GROUPS GEOMETRY AND DYNAMICS 14.2 (2020): 489-512.
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