Multi-quadratic p-rational number fields
نویسندگان
چکیده
For each odd prime p, we prove the existence of infinitely many real quadratic fields which are p-rational. Explicit imaginary and bi-quadratic p-rational also given for p. Using a recent method developed by Greenberg, deduce Galois extensions Q with group isomorphic to an open subgroup GLn(Zp), n=4 n=5 at least all primes p<192.699.943.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2021
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2020.106657