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hal-00129702, version 1

On finite resolutions of K(n)-local speheres

Hans-Werner Henn 1

(2004-05-09)

Abstract: For odd primes $p$ we construct finite resolutions of the trivial module $_p$ for the $n$-th Morava stabilizer groupby (direct summands of) permutationmodules with respect to finite $p$-subgroups.Furthermore we discussthe problem of realizing these resolutionsby finite resolutions of the $K(n)$-local sphere byspectra which are (direct summands of)wedges of homotopy fixed point spectrafor the action of these finite $p$-subgroupson the Lubin-Tate spectrum $E_n$.

  • 1:  Institut de Recherche Mathématique Avancée (IRMA)
  • CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
  • Domain : Mathematics/Algebraic Topology
  • Keywords : "Stable homotopy theory – K(n)-localization"
 
  • hal-00129702, version 1
  • oai:hal.archives-ouvertes.fr:hal-00129702
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  • Submitted on: Thursday, 8 February 2007 15:00:23
  • Updated on: Thursday, 8 February 2007 17:07:28