On The Homotopy Type of $BG$ for Certain Finite 2-Groups $G$
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- by Carlos Broto and Ran Levi PDF
- Trans. Amer. Math. Soc. 349 (1997), 1487-1502 Request permission
Abstract:
We consider the homotopy type of classifying spaces $BG$, where $G$ is a finite $p$-group, and we study the question whether or not the mod $p$ cohomology of $BG$, as an algebra over the Steenrod algebra together with the associated Bockstein spectral sequence, determine the homotopy type of $BG$. This article is devoted to producing some families of finite 2-groups where cohomological information determines the homotopy type of $BG$.References
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Additional Information
- Carlos Broto
- Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain
- MR Author ID: 42005
- 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
- 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 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 1487-1502
- MSC (1991): Primary 55R35; Secondary 55R40, 55Q52
- DOI: https://doi.org/10.1090/S0002-9947-97-01692-9
- MathSciNet review: 1370636