On connective KO–theory of elementary abelian 2–groups

TitreOn connective KO–theory of elementary abelian 2–groups
Type de publicationArticle de revue
AuteurPowell, Geoffrey
PaysRoyaume-Uni
EditeurGeometry & Topology Publications
VilleCoventry
TypeArticle scientifique dans une revue à comité de lecture
Année2014
LangueAnglais
Date2014/11/05
Numéro5
Pagination2693–2720
Volume14
Titre de la revueAlgebraic and Geometric Topology
ISSN1472-2747
Mots-clésconnective KO–theory, Detection, elementary abelian group, group cohomology, Steenrod algebra
Résumé en anglais

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.

URL de la noticehttp://okina.univ-angers.fr/publications/ua12548
DOI10.2140/agt.2014.14.2693
Lien vers le document

http://dx.doi.org/10.2140/agt.2014.14.2693

Titre abrégéAlgebr. Geom. Topol.