On the Cantor-Bendixson rank of metabelian groups
Group Theory
2012-02-17 v3 Commutative Algebra
Abstract
We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence (G_n) of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson rank omega^n.
Cite
@article{arxiv.0904.4230,
title = {On the Cantor-Bendixson rank of metabelian groups},
author = {Yves Cornulier},
journal= {arXiv preprint arXiv:0904.4230},
year = {2012}
}
Comments
20 pages, no figure. v2: minor changes. v3 substantial exposition changes, several results renumbered