On the classgroup of integral grouprings of finite abelian groups

DOI10.1112/S002557930000810XzbMath0215.36903OpenAlexW2018962028MaRDI QIDQ5618465

Albrecht Froehlich

Publication date: 1969

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002557930000810x

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Class groups (13C20)

Related Items

Kernel groups and nontrivial Galois module structure of imaginary quadratic fields ⋮ Units and class-groups in integral elementary Abelian group rings ⋮ Controlled algebraic \(K\)-theory of integral group ring of \(SL(3,\mathbb{Z})\) ⋮ The exponent of class groups ⋮ Class groups of integral group rings ⋮ A class number formula for elementary-Abelian-group rings ⋮ The Picard group of noncommutative rings, in particular of orders ⋮ Picard groups and automorphism groups of integral group rings of metacyclic groups ⋮ Unnamed Item ⋮ Class Groups of Integral Group Rings ⋮ Local units and circular index in abelian \(p\)-group rings ⋮ Groupe des classes de l'algèbre d'un groupe metacyclique ⋮ Fine structure of class groups of cyclic p-groups ⋮ A Mayer-Vietoris sequence for class groups ⋮ 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

• Modules over finite groups
• An obstruction to finiteness of 𝐶𝑊-complexes