The Bass conjecture and growth in groups

• Autorzy: Anders Karlsson , Markus Neuhauser
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20F65: Geometric group theory
• 20E07: Subgroup theorems; subgroup growth
• 16S34: Group rings , Laurent polynomial rings
• 22D15: Group algebras of locally compact groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 1
• Strony: 23-27

Daty

wydano

2004

Twórcy

autor

Anders Karlsson

• Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden

autor

Markus Neuhauser

• Department of Mathematics C, TU Graz, Steyrergasse 30/III, 8010 Graz, Austria

Identyfikatory

DOI

10.4064/cm100-1-4