1Department of Mathematics Royal Institute of Technology 100 44 Stockholm, Sweden 2Department of Mathematics C TU Graz Steyrergasse 30/III 8010 Graz, Austria
Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 23-27
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.
Keywords:
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
Affiliations des auteurs :
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
