mathcal{A}(p) generators for H^*V and Singer's homological transfer |
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Authors: | M.D. Crossley |
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Affiliation: | Max-Planck-Institut für Mathematik, Gottfried-Claren-Stra?e 26, D-53225 Bonn, Germany (e-mail: crossley@mpim-bonn.mpg.de), DE
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Abstract: | We list explicitly a minimal set of generators for the cohomology of an elementary abelian p-group, V, of rank 1 or 2, as a module over the mod p Steenrod algebra, for an odd prime p. Following Singer, we then construct a transfer map to the vector space spanned by such generators, where V now has arbitrary rank, from the homology of the Steenrod algebra. We show that this map takes images in the subspace of GL(V)-invariants and that it is an isomorphism for V having rank 1 or 2. Received June 11, 1996; in final form June 9, 1997 |
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Keywords: | Mathematics Subject Classification (1991): 55S10 55Q45 |
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