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Groups with condition on non-permutable subgroups

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dc.contributorEvans, Martin J.
dc.contributorCorson, Jon M.
dc.contributorLewis, Drew
dc.contributorBorie, Richard B.
dc.contributor.advisorDixon, Martyn R.
dc.contributor.authorChataut, Laxmi Kant
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2017-04-26T14:23:27Z
dc.date.available2017-04-26T14:23:27Z
dc.date.issued2015
dc.descriptionElectronic Thesis or Dissertationen_US
dc.description.abstractIn this dissertation, we study the structure of groups satisfying the weak minimal condition and weak maximal condition on non-permutable subgroups. In Chapter 1, we discuss some definitions and well-known results that we will be using during the dissertation. In Chapter 2, we establish some preliminary results which will be useful during the proof of the main results. In Chapter 3, we express our main results, one of which states that a locally finite group satisfying the weak minimal condition on non-permutable subgroups is either Chernikov or quasihamiltonian. We also prove that, a generalized radical group satisfying the weak minimal condition on non-permutable subgroups is either Chernikov or is soluble-by-finite of finite rank. In the Final Chapter, we will discuss the class of groups satisfying the weak maximal condition on non-permutable subgroups.en_US
dc.format.extent64 p.
dc.format.mediumelectronic
dc.format.mimetypeapplication/pdf
dc.identifier.otheru0015_0000001_0001991
dc.identifier.otherChataut_alatus_0004D_12437
dc.identifier.urihttp://ir.ua.edu/handle/123456789/3008
dc.languageEnglish
dc.language.isoen_US
dc.publisherUniversity of Alabama Libraries
dc.relation.hasversionborn digital
dc.relation.ispartofThe University of Alabama Electronic Theses and Dissertations
dc.relation.ispartofThe University of Alabama Libraries Digital Collections
dc.rightsAll rights reserved by the author unless otherwise indicated.en_US
dc.subjectMathematics
dc.titleGroups with condition on non-permutable subgroupsen_US
dc.typethesis
dc.typetext
etdms.degree.departmentUniversity of Alabama. Department of Mathematics
etdms.degree.disciplineMathematics
etdms.degree.grantorThe University of Alabama
etdms.degree.leveldoctoral
etdms.degree.namePh.D.

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