A sufficient condition for finite presentability of abelian-by-nilpotent groups
Group Theory
2014-05-20 v2
Abstract
A recipe for obtaining finitely presented abelian-by-nilpotent groups is given. It relies on a geometric procedure that generalizes the construction of finitely presented metabelian groups introduced by R. Bieri and R. Strebel in 1980.
Keywords
Cite
@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}
}
Comments
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