On the Galois module structure of ideal class groups

DOI10.1017/S0027763000008072zbMath1045.11079OpenAlexW1539750684MaRDI QIDQ4545194

Toru Komatsu, Shin-ichi Nakano

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008072

zbMATH Keywords

Galois extension fields

Mathematics Subject Classification ID

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

Related Items (1)

Galois action on class groups

Cites Work

• Group-theoretic constraints on the structure of the class group
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• Polynomials with Cyclic Galois Group
• Advanced Topics in Computional Number Theory
• A Note on Ideal Class Groups

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