Geodesic
The Bass conjecture and growth in groups
Anders Karlsson1 ; Markus Neuhauser2
1 Department of Mathematics Royal Institute of Technology 100 44 Stockholm, Sweden
2 Department of Mathematics C TU Graz Steyrergasse 30/III 8010 Graz, Austria
Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 23-27.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm100-1-4
Mots-clés : discuss basss conjecture vanishing hattori stallings rank viewpoint geometric group theory noted groups without u elements satisfy conjecture leads particular simple proof conjecture groups subexponential growth

Anders Karlsson 1 ; Markus Neuhauser 2

1 Department of Mathematics Royal Institute of Technology 100 44 Stockholm, Sweden
2 Department of Mathematics C TU Graz Steyrergasse 30/III 8010 Graz, Austria 
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Anders Karlsson; Markus Neuhauser. The Bass conjecture and growth in groups. Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 23-27. doi : 10.4064/cm100-1-4. https://geodesic-test.mathdoc.fr/articles/10.4064/cm100-1-4/

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