Cohomological uniqueness of some $p$-groups

Published 23 Feb 2010 in math.AT and math.GR | (1002.4302v3)

Abstract: In this paper we consider classifying spaces of a family of $p$-groups and we prove that mod $p$ cohomology enriched with Bockstein spectral sequences determines their homotopy type among $p$-completed CW-complexes. We end with some applications to group theory.

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