A generalization of Hall-Wielandt theorem

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buir.contributor.authorKızmaz, M. Yasir
dc.citation.epage169en_US
dc.citation.spage156en_US
dc.citation.volumeNumber543en_US
dc.contributor.authorKızmaz, M. Yasir
dc.date.accessioned2021-02-24T11:35:22Z
dc.date.available2021-02-24T11:35:22Z
dc.date.issued2020
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractLet Gbe a finite group and P∈Sylp(G). We denote the k’th term of the upper central series of Gby Zk(G)and the norm of Gby Z∗(G). In this article, we prove that if for every tame intersection P∩Qsuch that Zp−1(P) <P∩Q <P, the group NG(P∩Q)is p-nilpotent then NG(P) controls p-transfer inG. Fo r p =2, we sharpen our results by proving if for every tame intersection P∩Qsuch that Z∗(P) <P∩Q <P, the group NG(P∩Q)is p-nilpotent then NG(P) controls p-transfer in G. We also obtain several corollaries which give sufficient conditions for NG(P)to control p-transfer in Gas a generalization of some well known theorems, including Hall-Wielandt theorem and Fr o b e n i u s normal complement theoremen_US
dc.embargo.release2022-02-01
dc.identifier.doi10.1016/j.jalgebra.2019.10.018en_US
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/75556
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.jalgebra.2019.10.018en_US
dc.source.titleJournal of Algebraen_US
dc.subjectControlling p-transferen_US
dc.subjectp-Nilpotencyen_US
dc.titleA generalization of Hall-Wielandt theoremen_US
dc.typeArticleen_US
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