A survey of finite solvable groups

dc.contributor.advisorHausen, Jutta
dc.contributor.committeeMemberByrd, Richard D.
dc.contributor.committeeMemberLloyd, Tom
dc.contributor.committeeMemberLeiss, Ernst L.
dc.creatorRahardjo, Kay Kellogg
dc.date.accessioned2023-10-04T16:48:00Z
dc.date.available2023-10-04T16:48:00Z
dc.date.copyright1980-12-02
dc.date.issued1986
dc.description.abstractThe study of solvable groups was initiated by Evariste Galois (1811-1832) who gave a necessary and sufficient condition for the solvability of an equation of any degree by radicals, i.e., a polynomial is solvable by radicals if and only if its Galois group Gal(R/F) is a solvable group. More recently, Philip Hall proved many new results on finite solvable groups including the famous generalization of Sylow's Theorem. This paper looks at finite solvable groups in terms of the normal structure as well as the arithmetic, or Sylow, structure. Also, some sufficient conditions for solvability are given, as well as some further generalizations of Sylow's Theorem. All groups considered here are finite.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other16865242
dc.identifier.urihttps://hdl.handle.net/10657/15195
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.subjectFinite groups
dc.titleA survey of finite solvable groups
dc.type.dcmiText
dc.type.genreThesis
dcterms.accessRightsThe full text of this item is not available at this time because it contains documents that are presumed to be under copyright and are accessible only to users who have an active CougarNet ID. This item will continue to be made available through interlibrary loan.
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
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