ON UNRAMIFIED SOLVABLE EXTENSIONS OF SMALL NUMBER FIELDS

DOI10.1017/S0004972720001136zbMath1471.11277arXiv2010.14790OpenAlexW3105628268MaRDI QIDQ4989447

Joachim König

Publication date: 25 May 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14790

zbMATH Keywords

nilpotent groupGalois theorysolvable groupunramified extension

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12)

Uses Software

• Magma

Cites Work

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• Nonabelian Cohen-Lenstra moments
• On Galois extensions with prescribed decomposition groups
• Unramified extensions over low degree number fields
• Unramified extensions of quadratic number fields. II
• On unramified Galois extensions of quadratic number fields
• A Contribution to the Theory of Groups of Prime-Power Order
• Construction of unramified extensions with a prescribed solvable Galois group