On \(p\)-class group of an \(A_n\)-extension

DOI10.3792/PJAA.84.87zbMath1192.11077OpenAlexW1969548972MaRDI QIDQ2378641

Yutaka Konomi

Publication date: 13 January 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1216308246

zbMATH Keywords

ideal class groupambiguous class group\(A_{n}\)-extension

Mathematics Subject Classification ID

Galois theory (11R32) Other number fields (11R21) Class numbers, class groups, discriminants (11R29)

Related Items (1)

On the \(p\)-rank of the ideal class group of a normal extension with simple Galois group

Cites Work

• Group-theoretic constraints on the structure of the class group
• On the \(p\)-class groups of a Galois number field and its subfields

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