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A generalized Cartan isomorphism for the Grothendieck group of a finite group

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Publication:1255086
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DOI10.1016/0022-4049(87)90003-XzbMath0401.18008MaRDI QIDQ1255086

James E. jun. Arnold

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

Burnside RepresentationCartan MapF.G. Rojective Zg-ModulesGrothendieck GroupPermutation Modules


Mathematics Subject Classification ID

Grothendieck groups (category-theoretic aspects) (18F30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)


Related Items

A group with infinite permutation project1ve dimension ⋮ Groups of Permutation Projective Dimension Two



Cites Work

  • Induced representations and projective modules
  • Homological algebra based on permutation modules
  • Chain equivalences and Schanuel's lemma
  • Invariant rational functions and a problem of Steenrod
  • K-theory of finite groups and orders. Notes by E. Graham Evans
  • On Steenrod's Problem for Cyclic p-Groups
  • Quasi-permutation modules over finite groups
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