The Fields of Real and Complex Numbers with a Small Multiplicative Group |
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| Authors: | Van Den Dries, Lou Gunaydin, Ayhan |
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| Affiliation: | University of Illinois, Department of Mathematics 1409 W. Green Street, Urbana, IL 61801, USA vddries{at}math.uiuc.edu, gunaydin{at}math.uiuc.edu |
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| Abstract: | We consider the model theory of the real and complex fieldswith a multiplicative group having the Mann property. Amongthese groups are the finitely generated multiplicative groupsin these fields. As a by-product we obtain some results on groupswith the Mann property in rings of Witt vectors and in fieldsof positive characteristic.k 2000 Mathematics Subject Classification03C10, 03C35, 03C60, 03C64, 03C98, 13K05. |
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