On Ozaki's theorem realizing prescribed \(p\)-groups as \(p\)-class tower groups

DOI10.2140/ant.2024.18.771arXiv2204.08408OpenAlexW4224254773MaRDI QIDQ6122203

Christian Maire, Farshid Hajir, Ravi Ramakrishna

Publication date: 28 February 2024

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.08408

zbMATH Keywords

Hilbert class field towerclass group\(p\)-groupsMinkowski unit

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Cites Work

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• A note on basic Iwasawa \(\lambda\)-invariants of imaginary quadratic fields
• A seven-term exact sequence for the cohomology of a group extension.
• Construction of maximal unramified \(p\)-extensions with prescribed Galois groups
• On Class Field Towers and the Rank of Ideal Class Groups

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