Finite groups contain large centralizers

dc.contributor.authorPalacín Cruz, Daniel
dc.date.accessioned2024-02-03T14:46:30Z
dc.date.available2024-02-03T14:46:30Z
dc.date.issued2021
dc.description.abstractEvery finite non-abelian group of order n has a non-central element whose centralizer has order exceeding n^{1/3}. The proof does not rely on the classification of finite simple groups, yet it uses the Feit-Thompson theorem.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.identifier.citationPalacín, D. Finite groups contain large centralizers. Israel Journal of Mathematics 2021, 244(2), 621–624. doi:10.1007/s11856-021-2183-4.
dc.identifier.doi10.1007/s11856-021-2183-4
dc.identifier.issn0021-2172
dc.identifier.officialurlhttps://doi.org/10.1007/s11856-021-2183-4
dc.identifier.urihttps://hdl.handle.net/20.500.14352/98559
dc.journal.titleIsrael Journal of Mathematics
dc.language.isoeng
dc.page.final624
dc.page.initial621
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-86777-P/ES/LOGICA MATEMATICA/
dc.rights.accessRightsopen access
dc.subject.ucmÁlgebra
dc.subject.unesco1201.06 Grupos, Generalidades
dc.titleFinite groups contain large centralizersen
dc.typejournal article
dc.volume.number244
dspace.entity.typePublication
relation.isAuthorOfPublicationf173a7c4-2532-4caf-8464-59f9fd9483c6
relation.isAuthorOfPublication.latestForDiscoveryf173a7c4-2532-4caf-8464-59f9fd9483c6

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