Some remarks on the existence of certain unramified \(p\)-extensions

DOI10.3836/TJM/1406552429zbMath1379.12006OpenAlexW1973227245MaRDI QIDQ743666

Akito Nomura

Publication date: 30 September 2014

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1406552429

zbMATH Keywords

inverse Galois problemclass numbersunramified extensions

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Class numbers, class groups, discriminants (11R29) Ramification and extension theory (11S15)

Related Items (1)

Notes on the existence of unramified non-abelian \(p\)-extensions over cyclic fields

Cites Work

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• On the class numbers of certain Hilbert class fields
• Notes on the existence of certain unramified 2-extensions
• On the history of the study of ideal class groups
• The automorphism group of an extraspecial \(p\)-group
• On the existence of unramified p-extensions
• Class groups of dihedral extensions
• Sur les extensions de groupe de Galois Ã₄

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