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A note on asymptotically good extensions in which infinitely many primes split completely

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 نشر من قبل Christian Maire
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف Oussama Hamza




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Let p be a prime number, and let K be a number field. For p=2, assume moreover K totally imaginary. In this note we prove the existence of asymptotically good extensions L{K of cohomological dimension 2 in which infinitely many primes split completely. Our result is inspired by a recent work of Hajir, Maire, and Ramakrishna [7].

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