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dc.contributor.advisorVaaler, Jeffrey D.en
dc.creatorGarza, John Matthew, 1975-en
dc.date.accessioned2008-08-29T00:14:14Zen
dc.date.available2008-08-29T00:14:14Zen
dc.date.issued2008-05en
dc.identifierb70654670en
dc.identifier.urihttp://hdl.handle.net/2152/3846en
dc.descriptiontexten
dc.description.abstractThis dissertation is about the Weil height of algebraic numbers and the Mahler measure of polynomials in one variable. We investigate connections between the normalizer of a stabilizer and lower bounds for the Weil height of algebraic numbers. In the Archimedean case we extend a result of Schinzel [Sch73] and in the non-archimedean case we establish a result related to work of Amoroso and Dvornicich [Am00a]. We establish that amongst all polynomials in Z[x] whose splitting fields are contained in dihedral Galois extensions of the rationals, x³-x-1, attains the lowest Mahler measure different from 1.en
dc.format.mediumelectronicen
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshAlgebraen
dc.subject.lcshPolynomialsen
dc.titleThe height in terms of the normalizer of a stabilizeren
dc.description.departmentMathematicsen
dc.identifier.oclc241300502en
dc.type.genreThesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen


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