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Advanced Courses in Mathematics - CRM Barcelona

Homotopy Theoretic Methods in Group Cohomology

Authors: Dwyer, William, Henn, Hans-Werner

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  • ISBN 978-3-0348-8356-6
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Softcover 28,03 €
price for Spain (gross)
  • ISBN 978-3-7643-6605-6
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About this Textbook

This book consists essentially of notes which were written for an Advanced Course on Classifying Spaces and Cohomology of Groups. The course took place at the Centre de Recerca Mathematica (CRM) in Bellaterra from May 27 to June 2, 1998 and was part of an emphasis semester on Algebraic Topology. It consisted of two parallel series of 6 lectures of 90 minutes each and was intended as an introduction to new homotopy theoretic methods in group cohomology. The first part of the book is concerned with methods of decomposing the classifying space of a finite group into pieces made of classifying spaces of appropriate subgroups. Such decompositions have been used with great success in the last 10-15 years in the homotopy theory of classifying spaces of compact Lie groups and p-compact groups in the sense of Dwyer and Wilkerson. For simplicity the emphasis here is on finite groups and on homological properties of various decompositions known as centralizer resp. normalizer resp. subgroup decomposition. A unified treatment of the various decompositions is given and the relations between them are explored. This is preceeded by a detailed discussion of basic notions such as classifying spaces, simplicial complexes and homotopy colimits.

Table of contents (2 chapters)

Table of contents (2 chapters)
  • Classifying Spaces and Homology Decompositions

    Pages 1-53

    Dwyer, W. G.

  • Cohomology of Groups and Unstable Modules over the Steenrod Algebra

    Pages 55-98

    Henn, Hans-Werner

Buy this book

eBook 20,22 €
price for Spain (gross)
  • ISBN 978-3-0348-8356-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 28,03 €
price for Spain (gross)
  • ISBN 978-3-7643-6605-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Homotopy Theoretic Methods in Group Cohomology
Authors
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2001
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8356-6
DOI
10.1007/978-3-0348-8356-6
Softcover ISBN
978-3-7643-6605-6
Series ISSN
2297-0304
Edition Number
1
Number of Pages
IX, 98
Number of Illustrations
4 b/w illustrations
Topics