The Bass conjecture and growth in groups
Anders Karlsson ; Markus Neuhauser
Colloquium Mathematicae, Tome 100 (2004), p. 23-27 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:283608 
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Anders Karlsson; Markus Neuhauser. The Bass conjecture and growth in groups. Colloquium Mathematicae, Tome 100 (2004) pp. 23-27. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-4/