Groups with condition on non-permutable subgroups

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dc.contributor Evans, Martin J.
dc.contributor Corson, Jon M.
dc.contributor Lewis, Drew
dc.contributor Borie, Richard B.
dc.contributor.advisor Dixon, Martyn R.
dc.contributor.author Chataut, Laxmi Kant
dc.date.accessioned 2017-04-26T14:23:27Z
dc.date.available 2017-04-26T14:23:27Z
dc.date.issued 2015
dc.identifier.other u0015_0000001_0001991
dc.identifier.other Chataut_alatus_0004D_12437
dc.identifier.uri http://ir.ua.edu/handle/123456789/3008
dc.description Electronic Thesis or Dissertation
dc.description.abstract In 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.
dc.format.extent 64 p.
dc.format.medium electronic
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en_US
dc.publisher University of Alabama Libraries
dc.relation.ispartof The University of Alabama Electronic Theses and Dissertations
dc.relation.ispartof The University of Alabama Libraries Digital Collections
dc.relation.hasversion born digital
dc.rights All rights reserved by the author unless otherwise indicated.
dc.subject.other Mathematics
dc.title Groups with condition on non-permutable subgroups
dc.type thesis
dc.type text
etdms.degree.department University of Alabama. Dept. of Mathematics
etdms.degree.discipline Mathematics
etdms.degree.grantor The University of Alabama
etdms.degree.level doctoral
etdms.degree.name Ph.D.


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