Homotopy theoretic methods in group cohomology
William G Dwyer, Hans-Werner Henn
100 pages, parution le 04/12/2001
Résumé
This book looks at group cohomology with tools that come
from homotopy theory. These tools give both decomposition
theorems (which rely on homotopy colimits to obtain a
description of the cohomology of a group in terms of the
cohomology of suitable subgroups) and global structure
theorems (which exploit the action of the ring of
topological cohomology operations). The approach is
expository and thus suitable for graduate students and
others who would like an introduction to the subject that
organizes and adds to the relevant literature and leads to
the frontier of current research. The book should also be
interesting to anyone who wishes to learn some of the
machinery of homotopy theory (simplicial sets, homotopy
colimits, Lannes' T-functor, the theory of unstable modules
over the Steenrod algebra) by seeing how it is used in a
practical setting.
Contents
- Introduction
- Cohomology of Groups
- Quillen's F-isomorphism theorem from
- Lannes' T-Functor and Lannes'generalization of Quillen's theorem
- Approximations up to higher nilpotency
- Communatative algebra of unstable H BG-modules; approximations for HBG up to torsion modules
- The centralizer spectral sequence
- Reference
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Birkhäuser |
| Auteur(s) | William G Dwyer, Hans-Werner Henn |
| Parution | 04/12/2001 |
| Nb. de pages | 100 |
| Format | 17 x 24 |
| Couverture | Broché |
| Poids | 168g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783764366056 |
Avantages Eyrolles.com
Livraison à partir de 0,01 € en France métropolitaine
Paiement en ligne SÉCURISÉ
Livraison dans le monde
Retour sous 15 jours
+ d'un million et demi de livres disponibles
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse
