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

DOI10.5802/JTNB.1101zbMath1460.11133OpenAlexW3022326024MaRDI QIDQ2199512

Yutaka Konomi

Publication date: 11 September 2020

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jtnb.1101

zbMATH Keywords

class groupsimple group

Mathematics Subject Classification ID

Galois theory (11R32) Class numbers, class groups, discriminants (11R29)

Related Items (1)

On the ideal class group on which the alternating group of degree five acts and special values of Artin \(L\)-functions

Cites Work

• On \(p\)-class group of an \(A_n\)-extension
• Abelian p-subgroups of the general linear group
• The Abelian P -Subgroups of GL(n, p ) of Maximal Rank

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