Quintic Abelian Fields

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dc.contributor.authorTaylor, Frank Seatonen
dc.contributor.committeechairParry, Charles J.en
dc.contributor.committeememberFloyd, William J.en
dc.contributor.committeememberJohnson, Lee W.en
dc.contributor.committeememberBrown, Ezra A.en
dc.contributor.committeememberBall, Joseph A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:18:45Zen
dc.date.adate1997-12-22en
dc.date.available2014-03-14T20:18:45Zen
dc.date.issued1997-12-17en
dc.date.rdate1998-12-22en
dc.date.sdate1997-12-17en
dc.description.abstractQuintic abelian fields are characterized in terms of their conductor and a certain Galois group. From these, a generating polynomial and its roots and an integral basis are computed. A method for finding the fundamental units, regulators and class numbers is then developed. Tables listing the coefficients of a generating polynomial, the regulator, the class number, and a coefficients of a fundamental unit are given for 1527 quintic abelian fields. Of the seven cases where the class group structure is not immediate from the class number, six have their structure computed.en
dc.description.degreePh. D.en
dc.identifier.otheretd-111897-10412en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-111897-10412/en
dc.identifier.urihttp://hdl.handle.net/10919/29662en
dc.publisherVirginia Techen
dc.relation.haspartftaylor.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAbelian Fieldsen
dc.subjectClass Numberen
dc.subjectConductoren
dc.subjectFundamental Uniten
dc.subjectQuintic Fieldsen
dc.titleQuintic Abelian 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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