Class group of the group ring of a cyclic group of order \(p^ 2\) over the ring of integers in a quadratic number field

DOI10.1016/0021-8693(86)90104-3zbMath0591.12012OpenAlexW1989041020MaRDI QIDQ1074656

Soroosh Homayouni

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90104-3

zbMATH Keywords

class numberquadratic number fieldcyclic groupgroup ringlocally free class groupmaximal order

Mathematics Subject Classification ID

Group rings (16S34) Quadratic extensions (11R11) Iwasawa theory (11R23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (1)

Class group of the group ring of a cyclic group of order \(p^ 2\) over the ring of integers in a quadratic number field

Cites Work

• Class group of the group ring of a cyclic group of order \(p^ 2\) over the ring of integers in a quadratic number field
• On the projective class group of cyclic groups of prime power order
• Corrigendum: The class group of a cyclic p-group
• The class group of a cyclic p-group
• A Mayer-Vietoris sequence for class groups
• Locally free modules over arithmetic orders.
• On the classgroup of integral grouprings of finite abelian groups
• Unnamed Item

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