Cohomological uniqueness of some p-groups
classification
🧮 math.AT
math.GR
keywords
groupssomeapplicationsbocksteinclassifyingcohomologicalcohomologycompleted
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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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