Turkish Journal of Mathematics
DOI
-
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.
Keywords
Mapping class groups, Braid groups, Linear groups
First Page
367
Last Page
371
Recommended Citation
KORKMAZ, MUSTAFA (2000) "On the Linearity of Certain Mapping Class Groups," Turkish Journal of Mathematics: Vol. 24: No. 4, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol24/iss4/5
