Mapping class groups are not linear in positive characteristic
Group Theory
2016-10-27 v1 Geometric Topology
Abstract
For an orientable surface of finite topological type having genus at least 3 (possibly closed or possibly with any number of punctures or boundary components), we show that the mapping class group has no faithful linear representation in any dimension over any field of positive characteristic.
Cite
@article{arxiv.1610.08464,
title = {Mapping class groups are not linear in positive characteristic},
author = {J. O. Button},
journal= {arXiv preprint arXiv:1610.08464},
year = {2016}
}