Symmetric powers of the \(p+1\)-dimensional indecomposable module of a cyclic \(p\)-group and the \(\lambda\)-structure of its Green ring.

DOI10.1016/j.jalgebra.2012.06.013zbMath1268.20003OpenAlexW2042977386WikidataQ112881535 ScholiaQ112881535MaRDI QIDQ1945882

Sun-Young Nam, Young-Tak Oh

Publication date: 17 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.06.013

zbMATH Keywords

indecomposable modulesmodular representationssymmetric powersAdams operationsGreen rings\(\lambda\)-ringscyclic \(p\)-groups

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)

Cites Work

• Periodicity of Adams operations on the Green ring of a finite group
• \(\lambda\)-ring structure of the Green ring of a cyclic \(p\)-group.
• Adams operations on the Green ring of a cyclic group of prime-power order
• Cohomology of modules in the principal block of a finite group
• Modular Lie representations of groups of prime order
• Decomposing Symmetric Powers of Certain Modular Representations of Cyclic Groups
• Symmetric powers of modular representations, hilbert series and degree bounds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Symmetric powers of the \(p+1\)-dimensional indecomposable module of a cyclic \(p\)-group and the \(\lambda\)-structure of its Green ring.