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Definability of the ring of integers in pro-p galois extensions of number fields |
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| Authors: | Carlos R Videla |
| Institution: | (1) Departmento de Matemáticas, CINVESTAV-IPN, Apartado Postal 14-740, 07300 México, D.F., México |
| Abstract: | For some infinite algebraic extensionsM of the field of rational numbers we show that the integral closure of ℤ is first-order definable. As an application we prove that the Pythagorean hull of ℚ is an undecidable field. |
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