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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Article dans une revue
Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2014, 14 (5), pp.2693-2720. 〈10.2140/agt.2014.14.2693〉
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https://hal.archives-ouvertes.fr/hal-01389187
Contributeur : Okina Université d'Angers <>
Soumis le : vendredi 28 octobre 2016 - 10:22:32
Dernière modification le : lundi 5 février 2018 - 15:00:03

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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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