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University of Illinois at Urbana-Champaign
Model Theory of Fields With Multiplicative Groups
Abstract
dc:descriptionThe 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Gunaydin, Ayhan
- Contributors dc:contributor
-
- van den Dries, Lou
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3337756
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86906