Generalized Burnside--Grothendieck ring functor and aperiodic ring functor associated with profinite groups

DOI10.1016/j.jalgebra.2004.12.022zbMath1081.19001arXivmath/0405400OpenAlexW2092967765MaRDI QIDQ2572081

Young-Tak Oh

Publication date: 14 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0405400

zbMATH Keywords

Witt-Burnside ringnecklace ringBurnside-Grothendieck ring

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Limits, profinite groups (20E18)

Related Items

\(q\)-deformation of Witt-Burnside rings ⋮ Nested Witt vectors and their \(q\)-deformation ⋮ Classification of the ring of Witt vectors and the necklace ring associated with the formal group law \(X+Y - qXY\) ⋮ Witt vectors. Part 1 ⋮ Necklace rings and logarithmic functions

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
• Witt vectors and the algebra of necklaces
• Generalised Witt vectors
• Formal group-theoretic generalizations of the necklace algebra, including a \(q\)-deformation
• \(q\)-deformation of Witt-Burnside rings
• Necklace rings and logarithmic functions
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Aperiodic rings, necklace rings, and Witt vectors