%0 Journal Article
%T Homotopy equivalences between p-subgroup categories
%A Matthew Gelvin
%A Jesper M£żller
%J Mathematics
%D 2013
%I arXiv
%X Let p be a prime number and G a finite group of order divisible by p. Quillen showed that the Brown poset of nonidentity p-subgroups of G is homotopy equivalent to its subposet of nonidentity elementary abelian subgroups. We show here that a similar statement holds for the fusion category of nonidentity p-subgroups of G. Other categories of p-subgroups of G are also considered.
%U http://arxiv.org/abs/1301.0193v2