Decomposition of the Witt-Burnside ring and Burnside ring of an abelian profinite group

DOI10.1016/j.aim.2009.05.004zbMath1228.05326OpenAlexW1964326602MaRDI QIDQ838136

Young-Tak Oh

Publication date: 21 August 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2009.05.004

zbMATH Keywords

Möbius functionBurnside ringprofinite groupWitt-Burnside ringWitt-vectorspecial \(\lambda \) ring

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Chains and lattices of subgroups, subnormal subgroups (20E15) Frobenius induction, Burnside and representation rings (19A22) Limits, profinite groups (20E18) Witt vectors and related rings (13F35)

Related Items (2)

Witt-Burnside functor attached to \(\boldsymbol{Z}_p^2\) and \(p\)-adic Lipschitz continuous functions ⋮ A WITT–BURNSIDE RING ATTACHED TO A PRO-DIHEDRAL GROUP

Cites Work

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• Witt vectors
• \(R\)-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
• Nested Witt vectors and their \(q\)-deformation
• \(q\)-analog of the Möbius function and the cyclotomic identity associated to a profinite group.
• \(q\)-deformed necklace rings and \(q\)-Möbius function
• Generalised Witt vectors
• A functorial property of nested Witt vectors
• \(q\)-deformation of Witt-Burnside rings
• Constructing Witt-Burnside rings
• Binomial rings, integer-valued polynomials, and \(\lambda\)-rings
• Necklace rings and logarithmic functions
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Witt vectors and equivariant ring spectra applied to cobordism
• Subgroup lattices and symmetric functions

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