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oai:www.ideals.illinois.edu:2142/86906 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

van den Dries, Lou Gunaydin, Ayhan 2015-09-28T15:20:07Z 2015-09-28T15:20:07Z 10000-01-01 2008 2008 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. Made available in DSpace on 2015-09-28T15:20:07Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3337756.pdf: 1764662 bytes, checksum: ea3c71345cf9e9192ea238aa050482f1 (MD5) Previous issue date: 2008 Embargo set by: Seth Robbins for item 88187 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 114 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008. http://hdl.handle.net/2142/86906 (MiAaPQ)AAI3337756 eng Mathematics Model Theory of Fields With Multiplicative Groups text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.