Sylow branching coefficients and a conjecture of Malle and Navarro
dc.contributor.author | Giannelli, Eugenio | |
dc.contributor.author | Law, Stacey | |
dc.contributor.author | Long, Jason | |
dc.contributor.author | Vallejo, Carolina | |
dc.date.accessioned | 2022-03-15T09:00:36Z | |
dc.date.available | 2022-03-15T09:00:36Z | |
dc.date.issued | 2022-04 | |
dc.date.submitted | 2021-02-05 | |
dc.identifier.issn | 0024-6093 | |
dc.identifier.other | blms12584 | |
dc.identifier.other | 2102.06784 | |
dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/335001 | |
dc.description | Funder: Emmanuel College, Cambridge | |
dc.description.abstract | We prove that a finite group $G$ has a normal Sylow $p$-subgroup $P$ if, and only if, every irreducible character of $G$ appearing in the permutation character $({\bf 1}_P)^G$ with multiplicity coprime to $p$ has degree coprime to $p$. This confirms a prediction by Malle and Navarro from 2012. Our proof of the above result depends on a reduction to simple groups and ultimately on a combinatorial analysis of the properties of Sylow branching coefficients for symmetric groups. | |
dc.language | en | |
dc.publisher | Wiley | |
dc.subject | 20C15 | |
dc.subject | 20C20 | |
dc.subject | 20C30 | |
dc.subject | 20C33 | |
dc.subject | RESEARCH ARTICLE | |
dc.subject | RESEARCH ARTICLES | |
dc.title | Sylow branching coefficients and a conjecture of Malle and Navarro | |
dc.type | Article | |
dc.date.updated | 2022-03-15T09:00:35Z | |
prism.publicationName | Bulletin of the London Mathematical Society | |
dc.identifier.doi | 10.17863/CAM.82439 | |
dcterms.dateAccepted | 2021-07-05 | |
rioxxterms.versionofrecord | 10.1112/blms.12584 | |
rioxxterms.version | AO | |
rioxxterms.version | VoR | |
rioxxterms.licenseref.uri | http://creativecommons.org/licenses/by-nc/4.0/ | |
dc.contributor.orcid | Law, Stacey [0000-0001-7936-0938] | |
dc.identifier.eissn | 1469-2120 | |
pubs.funder-project-id | Spanish National Research Council (20205CEX001) | |
pubs.funder-project-id | ERC (647678) | |
pubs.funder-project-id | Ministerio de Ciencia e Innovación (PID2019‐103854GB‐I00, PID2020‐118193GA‐I00) | |
cam.issuedOnline | 2022-03-14 |
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