Turkish Journal of Mathematics
Abstract
S. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously known results that the mapping class group of a sphere with punctures and hyperelliptic mapping class groups are linear. In particular, the mapping class group of a closed orientable surface of genus $2$ is linear.
DOI
-
Keywords
Mapping class groups, Braid groups, Linear groups
First Page
367
Last Page
371
Recommended Citation
KORKMAZ, M (2000). On the Linearity of Certain Mapping Class Groups. Turkish Journal of Mathematics 24 (4): 367-371. https://doi.org/-
