一维流形的微分同胚群，III：幂零子群
动力系统
2018-06-04 v2 几何拓扑
摘要
Plante-Thurston 证明了 的每个幂零子群都是 Abel 群。我们的主要结果之一是一个尖锐的逆命题： 包含每一个有限生成、无挠的幂零群。
引用
@article{arxiv.math/0108091,
title = {Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups},
author = {Benson Farb and John Franks},
journal= {arXiv preprint arXiv:math/0108091},
year = {2018}
}
备注
This is a revision of a paper published in 2003. It corrects a minor mistake ( "2n-2j+2" changed to "4n-2j+2") in the proof of the Theorem 1.1. See Remark 2.1 in the current version