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Homotopy equivalent group representations and Picard groups of the Burnside ring and the character ring

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Publication:1259063
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DOI10.1007/BF01167973zbMath0409.57037MaRDI QIDQ1259063

Tammo tom Dieck

Publication date: 1978

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154585

zbMATH Keywords

Picard GroupBurnside RingHomotopy Equivalent Group RepresentationsRational Representation Ring


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Compact Lie groups of differentiable transformations (57S15) Finite transformation groups (57S17) Picard groups (14C22) (J)-morphism (55Q50)


Related Items

The Brauer group of Burnside rings, Homotopy representations of finite groups, Homotopiedarstellungen endlicher Gruppen: Dimensionsfunktionen



Cites Work

  • Unnamed Item
  • Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
  • The Burnside ring of a compact Lie group. I
  • Geometric modules over the Burnside ring
  • Äquivariante Whiteheadtorsion
  • On equivariant homotopy type
  • On the groups 𝐽𝑂(𝐺)
  • PERMUTATION REPRESENTATIONS OF FINITE p-GROUPS
  • Homotopy-equivalent group representations.
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