New collections of p-subgroups and homology decompositions for classifying spaces of finite groups
classification
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collectionsp-subgroupsfiniteamplenessclassifyingdecompositionsdefinedetermine
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Let G be a finite group and p a prime dividing its order. We define new collections of p-subgroups of G. We study the homotopy relations among them and with the standard collections of p-subgroups. We determine their ampleness and sharpness properties.
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