Metabelianisations of finitely presented groups
Group Theory
2018-11-12 v2
Abstract
In this article, I study some classes of finitely presented groups with the aim of finding out whether the maximal metabelian quotients of the members of these classes admit finite presentations. The considered classes include those of soluble groups, of one-relator or knot groups, and of Artin groups.
Cite
@article{arxiv.1810.00176,
title = {Metabelianisations of finitely presented groups},
author = {Ralph Strebel},
journal= {arXiv preprint arXiv:1810.00176},
year = {2018}
}
Comments
34 pages, 1 figure. In this second version, Proposition 7.9 has been added, the analysis of the metabelian tops of irreducible Artin systems of finite type B, carried out in Section 8, has been completed and a number of misprints have been corrected