On the linearity of certain mapping class groups
几何拓扑
2007-05-23 v1 群论
摘要
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.
引用
@article{arxiv.math/0010267,
title = {On the linearity of certain mapping class groups},
author = {Mustafa Korkmaz},
journal= {arXiv preprint arXiv:math/0010267},
year = {2007}
}
备注
5 pages, 1 figure, to apper in Turkish Journal of Mathematics