Class Groups and Picard Groups of Orders

DOI10.1112/plms/s3-29.3.405zbMath0297.16005OpenAlexW1983518266MaRDI QIDQ4050744

Irving Reiner, Stephen V. Ullom, Albrecht Froehlich

Publication date: 1974

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-29.3.405

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Automorphisms and endomorphisms (16W20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (14)

On the automorphism group of the p-adic group ring of a metacyclic p- group. II ⋮ Torsion units in integral group rings, conjugacy classes globally versus locally ⋮ Class groups of integral group rings ⋮ The Picard group of noncommutative rings, in particular of orders ⋮ Picard groups and automorphism groups of integral group rings of metacyclic groups ⋮ On bimodules over Noetherian PI rings ⋮ Unnamed Item ⋮ Class Groups of Integral Group Rings ⋮ Outer automorphisms and non‐trivial Picard groups ⋮ The class number of hereditary orders in non-Eichler algebras over global function fields ⋮ Generator ideals in Noetherian PI rings ⋮ Some constructions of rings ⋮ On the automorphism group of the p-adic group ring of a metacyclic p- group ⋮ Hecke actions on Picard groups

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