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An automorphism of orthogonal algebraic K-theory

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Publication:1171638
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DOI10.1016/0022-4049(82)90111-6zbMath0499.18014OpenAlexW2032350286MaRDI QIDQ1171638

Zbigniew Fiedorowicz, Stewart B. Priddy

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90111-6

zbMATH Keywords

orthogonal groupquadratic formfibrefinite dimensional vector spaceinfinite loopmapsinfinite loopspaceorthogonal representation ring


Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (J)-morphism (55Q50)




Cites Work

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  • There are no phantom cohomology operations in K-theory
  • \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
  • Homology of classical groups over finite fields and their associated infinite loop spaces
  • The \(K\)-theory of Eilenberg-MacLane complexes
  • Equivariant \(K\)-theory and completion
  • The Adams conjecture
  • On the cohomology and K-theory of the general linear groups over a finite field
  • Homotopy limits, completions and localizations
  • Infinite loop maps in geometric topology
  • Vector fields on spheres
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