Amenable groups of finite cohomological dimension and the zero divisor conjecture
Group Theory
2016-09-27 v1 Functional Analysis
Abstract
We prove that every amenable group of cohomological dimension two whose integral group ring is a domain is solvable and investigate certain homological finiteness properties of groups that satisfy the analytic zero divisor conjecture and act on an acyclic CW-complex with amenable stabilisers.
Keywords
Cite
@article{arxiv.1609.07635,
title = {Amenable groups of finite cohomological dimension and the zero divisor conjecture},
author = {Dieter Degrijse},
journal= {arXiv preprint arXiv:1609.07635},
year = {2016}
}
Comments
12 pages