On the class number of some quaternion group rings

DOI10.1016/0021-8693(88)90241-4zbMath0661.16007OpenAlexW2038336403MaRDI QIDQ1112928

Ernst Kleinert

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90241-4

zbMATH Keywords

class numberideal class groupmaximal orderintegral group ringgeneralized quaternion groupMayer- Vietoris sequencelocally free \({\mathbb{Z}}Q_ p\)-modules

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

• Units in \({\mathbb{Z}}[Q_ p\)]
• Einheiten in Z(D//2m)
• A Mayer-Vietoris sequence for class groups
• Simplification pour les ordres des corps de quaternions totalement définis.
• Crossed Products and Hereditary Orders
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