On the smallest non-trivial quotients of mapping class groups
Group Theory
2021-01-19 v3
Abstract
We prove that the smallest non-trivial quotient of the mapping class group of a connected orientable surface of genus at least 3 without punctures is , thus confirming a conjecture of Zimmermann. In the process, we generalise Korkmaz's results on -linear representations of mapping class groups to projective representations over any field.
Keywords
Cite
@article{arxiv.1705.10223,
title = {On the smallest non-trivial quotients of mapping class groups},
author = {Dawid Kielak and Emilio Pierro},
journal= {arXiv preprint arXiv:1705.10223},
year = {2021}
}
Comments
18 pages, 2 figures; v.2: Section 2 (on projective representations of mapping class groups) completely rewritten; v.3: Final version, to appear in Groups Geom. Dyn