Infinite class field towers of number fields of prime power discriminant

DOI10.1016/j.aim.2020.107318zbMath1469.11440arXiv1904.07062OpenAlexW3047213772MaRDI QIDQ2196623

Ravi Ramakrishna, Farshid Hajir, Christian Maire

Publication date: 3 September 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07062

zbMATH Keywords

Hilbert class field towerroot discriminant

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (6)

Infinite Hilbert class field tower ⋮ A note on $p$-rational fields and the abc-conjecture ⋮ Asymptotic growth patterns for class field towers ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting) ⋮ A note on asymptotically good extensions in which infinitely many primes split completely ⋮ Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem

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