Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector bundles over classifying spaces of p-local finite groups and
  Benson-Carlson duality   In this paper we obtain a description of the Grothendieck group of complex
vector bundles over the classifying space of a p-local finite group in terms of
representation rings of subgroups of its Sylow. We also prove a stable elements
formula for generalized cohomological invariants of p-local finite groups,
which is used to show the existence of unitary embeddings of p-local finite
groups. Finally, we show that the augmentation map for the cochains of the
classifying space of a p-local finite group is Gorenstein in the sense of
Dwyer-Greenlees-Iyengar and obtain some consequences about the cohomology ring
of these classifying spaces.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics