Equivalences of Classifying Spaces Completed at the Prime Two - Couverture souple

Couverture souple

ISBN 10 : 0821838288 ISBN 13 : 9780821838280

Editeur : American Mathematical Society, 2006

Synopsis

We prove here the Martino-Priddy conjecture at the prime $2$: the $2$-completions of the classifying spaces of two finite groups $G$ and $G'$ are homotopy equivalent if and only if there is an isomorphism between their Sylow $2$-subgroups which preserves fusion. This is a consequence of a technical algebraic result, which says that for a finite group $G$, the second higher derived functor of the inverse limit vanishes for a certain functor $\mathcal{Z}_G$ on the $2$-subgroup orbit category of $G$. The proof of this result uses the classification theorem for finite simple groups.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 0821838288
• ISBN 13: 9780821838280
• Reliure: Broché
• Nombre de pages: 102
• Éditeur: Oliver Bob
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible