The fields of real and complex numbers with a small multiplicative group

• Autores: Lou van den Dries, Ayhan Günaydin
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 93, Nº 1, 2006, págs. 43-81
• Idioma: inglés
• DOI: 10.1017/s0024611506015747
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• Resumen

  • 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