A note on asymptotically good extensions in which infinitely many primes split completely
Number Theory
2020-02-26 v1
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].
Cite
@article{arxiv.2002.10741,
title = {A note on asymptotically good extensions in which infinitely many primes split completely},
author = {Oussama Hamza and Christian Maire},
journal= {arXiv preprint arXiv:2002.10741},
year = {2020}
}