ON THE HOMOTOPY TYPE OF BG FOR CERTAIN FINITE 2-GROUPS G
Carles Broto and Ran Levi
We consider the homotopy type of classifying spaces $BG$, where $G$ is a
finite $p$-group and 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 $BG$.