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THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL MULTIPLICATIVE GROUP

Published online by Cambridge University Press:  09 June 2006

LOU VAN DEN DRIES  and
AYHAN GÜNAYDIN
LOU VAN DEN DRIES
Affiliation:
University of Illinois, Department of Mathematics, 1409 W. Green Street, Urbana, IL 61801, USAvddries@math.uiuc.edu, gunaydin@math.uiuc.edu
AYHAN GÜNAYDIN
Affiliation:
University of Illinois, Department of Mathematics, 1409 W. Green Street, Urbana, IL 61801, USAvddries@math.uiuc.edu, gunaydin@math.uiuc.edu
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Abstract

We consider the model theory of the real and complex fields with a multiplicative group having the Mann property. Among these groups are the finitely generated multiplicative groups in these fields. As a by-product we obtain some results on groups with the Mann property in rings of Witt vectors and in fields of positive characteristic.k

Keywords

03C1003C3503C6003C6403C9813K05
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 93 , Issue 1 , July 2006 , pp. 43 - 81
Copyright
2006 London Mathematical Society

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