Co-rank and Betti number of a group
Group Theory
2016-08-25 v1
Abstract
We study the maximal ranks of a free and a free abelian quotients of a finitely generated group, called co-rank (inner rank, cut number) and the Betti number, respectively. We show that any combination of these values within obvious constraints is realized for some finitely presented group, which is important for manifold and foliation topology.
Keywords
Cite
@article{arxiv.1502.02197,
title = {Co-rank and Betti number of a group},
author = {Irina Gelbukh},
journal= {arXiv preprint arXiv:1502.02197},
year = {2016}
}
Comments
Accepted to: Czechoslovak Mathematical Journal, 2015