Endomorphisms of H
*(K(V, n);
) in the category of unstable modules |
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Authors: | Geoffrey ML Powell |
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Institution: | (1) Laboratoire Analyse, Géométrie et Applications, UMR 7539 Institut Galilée, Université Paris 13, 93430 Villetaneuse, France |
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Abstract: | The ring of endomorphisms of the -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 is the prime field of characteristic two. The result generalizes the theorem of Adams, Gunawardena and Miller, which corresponds
to the case n=1. |
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Keywords: | Eilenberg-MacLane space Steenrod algebra unstable module nil-localization functor category |
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