Units and class groups of imaginary octic fields

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dc.contributor.authorMcCall, Thomas Marken
dc.contributor.committeechairParry, C. J.en
dc.contributor.committeememberArnold, Jesse C.en
dc.contributor.committeememberBall, J.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:10:55Zen
dc.date.adate2006-05-11en
dc.date.available2014-03-14T21:10:55Zen
dc.date.issued1996en
dc.date.rdate2006-05-11en
dc.date.sdate2006-05-11en
dc.description.abstractIn this dissertation class groups and unit groups of number fields with elementary Galois groups of order 4 and 8 are considered. In chapter 3 we consider bicyclic biquadratic extensions K/k and give a method for determining the structure of the 2-class group of K. In chapters 4 and 5 this method is applied to real and imaginary bicyclic biquadratic extensions of Q. In chapter 6 a method for determining the unit group of an imaginary octic field is given. In the final chapter all imaginary octic fields of class number less than or equal to 16 or prime class number are determined.en
dc.description.degreePh. D.en
dc.format.extentiv, 63 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-05112006-154818en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05112006-154818/en
dc.identifier.urihttp://hdl.handle.net/10919/37768en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1996.M383.pdfen
dc.relation.isformatofOCLC# 35003148en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1996.M383en
dc.titleUnits and class groups of imaginary octic fieldsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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