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arXiv · 2002.10741

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

Oussama Hamza·Christian Maire
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Abstract

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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Oussama Hamza, Christian Maire. 2020-02-25. A note on asymptotically good extensions in which infinitely many primes split completely. https://arxiv.org/abs/2002.10741

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