The co-rank conjecture for 3-manifold groups
Geometric Topology
2014-10-01 v1 Group Theory
Abstract
In this paper we construct explicit examples of both closed and non-compact finite volume hyperbolic manifolds which provide counterexamples to the conjecture that the co-rank of a 3-manifold group (also known as the cut number) is bounded below by one-third the first Betti number.
Cite
@article{arxiv.math/0202261,
title = {The co-rank conjecture for 3-manifold groups},
author = {Christopher J. Leininger and Alan W. Reid},
journal= {arXiv preprint arXiv:math/0202261},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-4.abs.html