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ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH

dc.contributor.authorErsoy, Kivanc
dc.contributor.authorTortora, Antonio
dc.contributor.authorTota, Maria
dc.date.accessioned2025-01-09T20:12:04Z
dc.date.available2025-01-09T20:12:04Z
dc.date.issued2014
dc.identifier.issn0017-0895
dc.identifier.issn1469-509X
dc.identifier.urihttps://doi.org/10.1017/S0017089513000190
dc.identifier.urihttps://hdl.handle.net/20.500.14124/8331
dc.description.abstractIn this paper we deal with locally graded groups whose subgroups are either subnormal or soluble of bounded derived length, say d. In particular, we prove that every locally (soluble-by-finite) group with this property is either soluble or an extension of a soluble group of derived length at most d by a finite group, which fits between a minimal simple group and its automorphism group. We also classify all the finite non-abelian simple groups whose proper subgroups are metabelian.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) BIDEB 2219 International Post Doctoral Research Fellowship; TUBITAKen_US
dc.description.sponsorshipThe authors would like to thank Prof. Howard Smith for interesting discussions and useful suggestions. This study was carried out during the first author's visit to the University of Salerno and is supported by The Scientific and Technological Research Council of Turkey (TUBITAK) BIDEB 2219 International Post Doctoral Research Fellowship. The first author thanks TUBITAK for the support.en_US
dc.language.isoengen_US
dc.publisherCambridge Univ Pressen_US
dc.relation.ispartofGlasgow Mathematical Journalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTHen_US
dc.typearticleen_US
dc.authoridErsoy, Kivanc/0000-0001-6492-3662
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1017/S0017089513000190
dc.identifier.volume56en_US
dc.identifier.issue1en_US
dc.identifier.startpage221en_US
dc.identifier.endpage227en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ4
dc.identifier.wosWOS:000327765800018
dc.identifier.scopus2-s2.0-84889786262
dc.identifier.scopusqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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