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

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.

14 pages, some revisions made, final version to appear in Communications in Algebra

References in corpus (1)

• Propagating sharp group homology decompositions

Cited by in corpus (3)

• On fixed point sets of distinguished collections for groups of parabolic characteristic
• On fixed point sets and Lefschetz modules for sporadic simple groups
• On a homotopy relation between the 2-local geometry and the Bouc complex for the sporadic group McL