The Bass conjecture and growth in groups
Volume 100 / 2004
Colloquium Mathematicum 100 (2004), 23-27
MSC: 16S34, 20E07, 20F65, 22D15.
DOI: 10.4064/cm100-1-4
Abstract
We discuss Bass's conjecture on the vanishing of the Hattori–Stallings rank from the viewpoint of geometric group theory. It is noted that groups without u-elements satisfy this conjecture. This leads in particular to a simple proof of the conjecture in the case of groups of subexponential growth.
