\(\lambda\)-ring structure of the Green ring of a cyclic \(p\)-group.

DOI10.1016/j.jalgebra.2011.05.008zbMath1242.20015OpenAlexW1997994894WikidataQ112881527 ScholiaQ112881527MaRDI QIDQ663600

Sun-Young Nam, Young-Tak Oh

Publication date: 25 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.05.008

zbMATH Keywords

exterior powersmodular representationsAdams operationsGreen rings\(\lambda\)-rings

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

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

Cites Work

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• Periodicity of Adams operations on the Green ring of a finite group
• \(\lambda\)-rings and the representation theory of the symmetric group
• Adams operations on the Green ring of a cyclic group of prime-power order
• Some formulas in invariant theory
• The decomposition of products in the modular representation ring of a cyclic group of prime power order
• Necklace rings and logarithmic functions
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Symmetric powers of modular representations, hilbert series and degree bounds