New collections of p-subgroups and homology decompositions for classifying spaces of finite groups

John Maginnis; Silvia Onofrei

doi:10.1080/00927870802069795

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arXiv · math/0510540

New collections of p-subgroups and homology decompositions for classifying spaces of finite groups

John Maginnis·Silvia Onofrei

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Abstract

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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John Maginnis, Silvia Onofrei. 2007-11-29. New collections of p-subgroups and homology decompositions for classifying spaces of finite groups. https://doi.org/10.1080/00927870802069795

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