几类可解同胚群的代数分类
群论
2007-05-23 v2 一般拓扑
摘要
我们给出单位区间保向分段线性同胚群 PLo(I) 在复合运算下的可解子群，以及广义 R. Thompson 群 F_n 的可解子群的同构类的两种独立代数描述。第一种描述为一个在三种代数运算下封闭的同构类集合，第二种描述为可数个易于描述的群的子群的同构类集合。我们证明这两种描述是等价的。
引用
@article{arxiv.math/0602038,
title = {An algebraic classification of some solvable groups of homeomorphisms},
author = {Collin Bleak},
journal= {arXiv preprint arXiv:math/0602038},
year = {2007}
}
备注
29 pages, 1 figure, preprint. This version has an improved introduction (better references, for instance), and a completely re-written section on the split group. The section on the split group is more detailed and corrects a minor inaccuracy