Witt-Burnside ring and Burnside ring over a special \(\lambda \)-ring

DOI10.1016/j.jalgebra.2012.01.020zbMath1273.13039OpenAlexW2022820073WikidataQ112881529 ScholiaQ112881529MaRDI QIDQ713396

Young-Tak Oh

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.01.020

zbMATH Keywords

Burnside ringprofinite groupWitt-Burnside ringspecial \(\lambda\)-ring.Witt-vector

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Limits, profinite groups (20E18) Witt vectors and related rings (13F35)

Cites Work

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• Witt vectors and Tambara functors
• The Burnside ring of the infinite cyclic group and its relations to the necklace algebra, \(\lambda\)-rings, and the universal ring of Witt vectors
• The Burnside ring of profinite groups and the Witt vector construction
• \(R\)-analogue of the Burnside ring of profinite groups and free Lie algebras
• \(\lambda\)-rings and the representation theory of the symmetric group
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Generalised Witt vectors
• Finite index subgroups in profinite groups.
• \(q\)-deformation of Witt-Burnside rings
• Constructing Witt-Burnside rings
• Necklace rings and logarithmic functions
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Witt vectors and equivariant ring spectra applied to cobordism

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