Lou van den Dries and Ayhan Günaydin

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.

2000 Mathematics Subject Classification: 03C10, 03C35, 03C60, 03C64, 03C98, 13K05.

E-mail:
vddries@math.uiuc.edu
gunaydin@math.uiuc.edu