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On connective KO–theory of elementary abelian 2–groups

Abstract :

A general notion of detection is introduced and used in the study of the cohomology of elementary abelian 2–groups with respect to the spectra in the Postnikov tower of orthogonal K–theory. This recovers and extends results of Bruner and Greenlees and is related to calculations of the (co)homology of the spaces of the associated Ω–spectra by Stong and by Cowen Morton.

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https://hal.archives-ouvertes.fr/hal-01389187
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Submitted on : Friday, October 28, 2016 - 10:22:32 AM
Last modification on : Monday, March 9, 2020 - 6:15:58 PM

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Geoffrey Powell. On connective KO–theory of elementary abelian 2–groups. Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2014, 14 (5), pp.2693-2720. ⟨10.2140/agt.2014.14.2693⟩. ⟨hal-01389187⟩

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