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dc.contributor.authorKielak, Dawid
dc.contributor.authorKropholler, Robert
dc.contributor.authorWilkes, Gareth
dc.date.accessioned2022-03-17T11:00:09Z
dc.date.available2022-03-17T11:00:09Z
dc.date.issued2022-07
dc.date.submitted2020-07-13
dc.identifier.issn0024-6107
dc.identifier.otherjlms12579
dc.identifier.other2003.06354
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/335106
dc.descriptionFunder: Clare College, Cambridge
dc.description.abstractAbstract: We study ℓ 2 $\ell ^2$ ‐Betti numbers, coherence and (virtual) fibring of random groups in the few‐relator model. In particular, random groups with negative Euler characteristic are coherent, have ℓ 2 $\ell ^2$ ‐homology concentrated in dimension 1 and embed in a virtually free‐by‐cyclic group with high probability. In the case of Euler characteristic zero, we use Novikov homology to show that a random group is free‐by‐cyclic with positive probability.
dc.languageen
dc.publisherWiley
dc.subject20F65
dc.subjectRESEARCH ARTICLE
dc.subjectRESEARCH ARTICLES
dc.titleℓ2$\ell ^2$‐Betti numbers and coherence of random groups
dc.typeArticle
dc.date.updated2022-03-17T11:00:09Z
prism.publicationNameJournal of the London Mathematical Society
dc.identifier.doi10.17863/CAM.82547
dcterms.dateAccepted2021-12-17
rioxxterms.versionofrecord10.1112/jlms.12579
rioxxterms.versionAO
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.identifier.eissn1469-7750
pubs.funder-project-idDFG (SPP2026)
cam.issuedOnline2022-03-17


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