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Endomorphisms of H *(K(V, n); ) in the category of unstable modules
Authors:Geoffrey ML Powell
Institution:(1) Laboratoire Analyse, Géométrie et Applications, UMR 7539 Institut Galilée, Université Paris 13, 93430 Villetaneuse, France
Abstract:The ring of endomorphisms of the MediaObjects/s00209-005-0918-2flb2.gif-cohomology of the Eilenberg-MacLane space K(V,n), in the category of unstable modules over the Steenrod algebra is calculated, where V is an elementary abelian 2-group, n is a non-negative integer and MediaObjects/s00209-005-0918-2flb2.gif is the prime field of characteristic two. The result generalizes the theorem of Adams, Gunawardena and Miller, which corresponds to the case n=1.
Keywords:Eilenberg-MacLane space  Steenrod algebra  unstable module  nil-localization  functor category
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