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

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

2005-10-26

arxiv.org/abs/math/0510540v2

Communications in Algebra, Vol. 36, Issue 7 (2008) 2466 - 2480

Mathematics

Group Theory

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

Scientific paper

10.1080/00927870802069795

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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