On The Homotopy Type of 𝐵𝐺 for Certain Finite 2-Groups 𝐺

Broto, Carlos; Levi, Ran

doi:10.1090/S0002-9947-97-01692-9

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 $BG$.

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