The free \(\beta{}\)-ring on one generator

DOI10.1016/0022-4049(93)90156-NzbMath0786.20006OpenAlexW2090984541MaRDI QIDQ2366059

Ernesto Vallejo

Publication date: 29 June 1993

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(93)90156-n

zbMATH Keywords

symmetric groupBurnside ringfinite groupgraded ringcomplex representation ringfinite \(G\)- setsfree \(\beta\)-ringfree graded \(\lambda\)-ring on one generator

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Frobenius induction, Burnside and representation rings (19A22) Symmetric groups (20B30)

Related Items (3)

Unnamed Item ⋮ \(G_\infty\)-ring spectra and Moore spectra for \(\beta\)-rings ⋮ Witt vectors. Part 1

Cites Work

• The Burnside ring of profinite groups and the Witt vector construction
• \(\lambda\)-rings and the representation theory of the symmetric group
• Adams operations and \(\lambda\)-operations in \(\beta\)-rings
• Outer plethysm, Burnside ring and \(\beta\)-rings
• Polynomial operations from Burnside rings to representation functors
• Transformation groups
• \(\tau\)-rings and wreath product representations
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• A characterisation of solvable groups
• S-Operations in Representation Theory
• Power Operations on the Burnside Ring
• POWER OPERATIONS IN K-THEORY

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