The virtual first Betti number of soluble groups
Group Theory
2014-09-23 v1
Abstract
We show that if a group G is finitely presented and nilpotent-by-abelian-by-finite, then there is an upper bound on the first betti number of M as M runs through all subgroups of finite index in G.
Cite
@article{arxiv.1409.6029,
title = {The virtual first Betti number of soluble groups},
author = {Martin R. Bridson and Dessislava H. Kochloukova},
journal= {arXiv preprint arXiv:1409.6029},
year = {2014}
}
Comments
11 pages, no figures. To appear in Pacific Journal of Math