Generating the surface mapping class group by two elements
几何拓扑
2007-05-23 v2 群论
摘要
Wajnryb proved that the mapping class group of an orientable surface is generated by two elements. We prove that one of these generators can be taken as a Dehn twist. We also prove that the extended mapping class group is generated by two elements, again one of which is a Dehn twist. Another result we prove is that the mapping class groups are also generated by two elements of finite order.
引用
@article{arxiv.math/0309299,
title = {Generating the surface mapping class group by two elements},
author = {Mustafa Korkmaz},
journal= {arXiv preprint arXiv:math/0309299},
year = {2007}
}
备注
A new section is added. New abstract. 13 pages