ENGLISH

Homotopy theoretic methods in group cohomology

By William G. Dwyer , Hans-Werner Henn

Book information

Publisher
Birkhäuser
Year
2001
ISBN
3764366052, 9783764366056, 0817666052
Open Library ID
OL9090668M
Language
english
Format
DJVU
Filesize
823 kB (842392 bytes)
Series
Advanced courses in mathematics, CRM Barcelona
Edition
1
Pages
103\103
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

Description

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.

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