A criterion for the parity of the class number of an Abelian field with prime power conductor

DOI10.1017/S0027763000006152zbMath0879.11060MaRDI QIDQ4343830

Ken-ichi Yoshino

Publication date: 18 January 1998

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

zbMATH Keywords

prime power conductorparity of the class number of an abelian field

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (1)

A condition for divisibility of the class number of real \(p\)th cyclotomic field by an odd prime distinct from \(p\)

Cites Work

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• A note on class numbers of algebraic number fields
• Demjanenko matrix, class number, and Hodge group
• Computation of the first factor of the class number of cyclotomic fields
• Demjanenko matrix and 2-divisibility of class numbers

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