Cohomological uniqueness of some $p$-groups

Mathematics – Algebraic Topology

Scientific paper

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Minor changes, 16 pages, no figures

Scientific paper

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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