Hecke actions on Picard groups

DOI10.1016/0022-4049(82)90031-7zbMath0572.20003OpenAlexW2030460111MaRDI QIDQ1062135

Leonard L. Scott, Klaus W. Roggenkamp

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90031-7

zbMATH Keywords

Galois groupclass grouppermutation modulesfinite Galois extensionHecke category

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Iwasawa theory (11R23) Picard groups (14C22)

Related Items

Hecke actions on Brauer groups ⋮ Class group relations from Burnside ring idempotents ⋮ Hecke actions on the \(K\)-theory of commutative rings ⋮ A Generalization of the Cohomology of Groups ⋮ Unnamed Item ⋮ On monoidal group actions on tensor categories and their Green functors ⋮ On the Grothendieck rings of equivariant fusion categories ⋮ Transfer functors on \(k\)-algebras

Cites Work

• Picard groups of some rings of invariants
• On the class numbers of arithmetically equivalent fields
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• Axiomatic representation threory for finite groups
• The Lyndon-Hochschild-Serre Spectral Sequences for Sheaves with Operators
• Class Groups and Picard Groups of Orders
• Brauer's class number relation
• The Picard Group of Noncommutative Rings, in Particular of Orders
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