阿贝尔-幂零群有限可表示性的一个充分条件
群论
2014-05-20 v2
摘要
本文给出了获得有限可表示阿贝尔-幂零群的一种方法。该方法依赖于一个几何过程,该过程推广了R. Bieri和R. Strebel于1980年引入的有限可表示亚贝尔群的构造。
引用
@article{arxiv.1201.0978,
title = {A sufficient condition for finite presentability of abelian-by-nilpotent groups},
author = {Ralph Strebel},
journal= {arXiv preprint arXiv:1201.0978},
year = {2014}
}
备注
This second version takes into account the suggestions by the referee; it includes, in particular, an additional Section 5 giving some examples and a necessary condition for the finite presentability of abelian-by-nilpotent groups; 27 pages