The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields

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dc.contributor.authorRanalli, Ramona Reneeen
dc.contributor.committeechairParry, Charles J.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberBoisen, Monte B. Jr.en
dc.contributor.committeememberBrown, Ezra A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:19:21Zen
dc.date.adate1997-12-10en
dc.date.available2014-03-14T20:19:21Zen
dc.date.issued1997-11-18en
dc.date.rdate2012-04-12en
dc.date.sdate1997-11-18en
dc.description.abstractIn this dissertation class groups of imaginary bicyclic biquadratic fields are considered. In chapter 1 we develop a method for determining the structure of the 2-class group of K. In chapters 3, 4, and 5 this method is applied to determine all imaginary bicyclic biquadratic extensions of Q with class number 4, 8, and 16, as well as to determine the specific structure of each.en
dc.description.degreePh. D.en
dc.identifier.otheretd-11297-16598en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-11297-16598/en
dc.identifier.urihttp://hdl.handle.net/10919/29790en
dc.publisherVirginia Techen
dc.relation.haspartetd.dvien
dc.relation.haspartranalli.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBicyclicen
dc.subjectIdeal Class Groupsen
dc.subjectBiquadraticen
dc.titleThe Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fieldsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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