The species and idempotents of the Green algebra of a finite group with a cyclic Sylow subgroup.

DOI10.1016/j.jalgebra.2008.07.019zbMath1165.20006OpenAlexW2034201454MaRDI QIDQ958523

Lothar Häberle

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.07.019

zbMATH Keywords

idempotentsfinite groupsindecomposable modulesspeciesGreen ringscyclic Sylow subgroupsGreen algebras

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Related Items

Isomorphic rings of monomial representations

Cites Work

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• The Green ring of a finite group
• On the orthogonality coefficients for character tables of the Green ring of a finite group
• The decomposition of products in the modular representation ring of a cyclic group of prime power order
• Groups with a T. I. cyclic Sylow subgroup
• A transfer theorem for modular representations
• The modular representation algebra of a finite group
• Indecomposable representations at characteristic \(p\)
• The Modular Representation Ring of a Cyclic p -Group
• Symmetric powers of modular representations for groups with a Sylow subgroup of prime order