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https://hdl.handle.net/2142/86906
Description
Title
Model Theory of Fields With Multiplicative Groups
Author(s)
Gunaydin, Ayhan
Issue Date
2008
Doctoral Committee Chair(s)
van den Dries, Lou
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
The general theme of this thesis is the model theory of fields expanded by multiplicative groups. We first consider a real closed field expanded by two subgroups of the positive part of that field. Then we investigate an algebraically closed field with a multiplicative subgroup satisfying a certain diophantine condition with respect to a subfield of the algebraically closed field. We also study the real field with a distinguished subgroup of the unit circle group in the complex plane.
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