K_g is not finitely generated
几何拓扑
2009-11-10 v2 群论
摘要
We prove that for any genus g>1, the subgroup K_g of the mapping class group of a closed genus g surface generated by Dehn twists about separating curves is not finitely generated.
引用
@article{arxiv.math/0405386,
title = {K_g is not finitely generated},
author = {Daniel Biss and Benson Farb},
journal= {arXiv preprint arXiv:math/0405386},
year = {2009}
}
备注
17 pages, 2 figures