The Bass conjecture and growth in groups

Anders Karlsson, and Markus Neuhauser. "The Bass conjecture and growth in groups." Colloquium Mathematicae 100.1 (2004): 23-27. <http://eudml.org/doc/283608>.

@article{AndersKarlsson2004,
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.},
author = {Anders Karlsson, Markus Neuhauser},
journal = {Colloquium Mathematicae},
keywords = {group algebras; Hattori-Stallings ranks; groups of subexponential growth; idempotents; elements of infinite order; finitely generated groups; word lengths},
language = {eng},
number = {1},
pages = {23-27},
title = {The Bass conjecture and growth in groups},
url = {http://eudml.org/doc/283608},
volume = {100},
year = {2004},
}

TY - JOUR
AU - Anders Karlsson
AU - Markus Neuhauser
TI - The Bass conjecture and growth in groups
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 1
SP - 23
EP - 27
AB - 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.
LA - eng
KW - group algebras; Hattori-Stallings ranks; groups of subexponential growth; idempotents; elements of infinite order; finitely generated groups; word lengths
UR - http://eudml.org/doc/283608
ER -