Amenable groups of finite cohomological dimension and the zero divisor conjecture

Dieter Degrijse

Amenable groups of finite cohomological dimension and the zero divisor conjecture

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1609.07635 v1 pith:IQPSMIB6 submitted 2016-09-24 math.GR math.FA

Dieter Degrijse This is my paper · ORCID

classification math.GRmath.FA

keywords amenablecohomologicalconjecturedimensiondivisorgroupgroupszero

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Cohomology of group theoretic Dehn fillings II
math.GR 2019-08 accept novelty 7.0 of 10

A new spectral sequence and an algebraic excision theorem control the cohomology of Dehn fillings of groups with hyperbolically embedded subgroups, with applications to Poincaré duality, simplicial volume, and acylind...

Pith tools