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On The Homotopy Type of  for Certain Finite 2-Groups 
Author(s):
Carlos
Broto;
Ran
Levi
Journal:
Trans. Amer. Math. Soc.
349
(1997),
1487-1502.
MSC (1991):
Primary 55R35;
Secondary 55R40, 55Q52
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Abstract:
We consider the homotopy type of classifying spaces  , where  is a finite  -group, and we study the question whether or not the mod  cohomology of  , as an algebra over the Steenrod algebra together with the associated Bockstein spectral sequence, determine the homotopy type of  . This article is devoted to producing some families of finite 2-groups where cohomological information determines the homotopy type of  .
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Additional Information:
Carlos
Broto
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain
Email:
broto@mat.uab.es
Ran
Levi
Affiliation:
Mathematisches Institut, Universität Heidelberg, INF 288, Heidelberg 69120, Germany
Address at time of publication:
Department of Mathematics, Northwestern University, 2033 Sheridan Rd., Evanston, Illinois 60201
Email:
ran@math.nwu.edu
DOI:
10.1090/S0002-9947-97-01692-9
PII:
S 0002-9947(97)01692-9
Keywords:
Classifying spaces,
finite 2-groups,
cohomology,
Steenrod squares,
Bockstein spectral sequence
Received by editor(s):
May 19, 1995
Additional Notes:
C. Broto is partially supported by DGICYT grant PB94-0725.
R. Levi is supported by a DFG grant.
Copyright of article:
Copyright
1997,
American Mathematical Society
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