Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded complexes of permutation modules   Let $k$ be a field of characteristic $p > 0$. For $G$ an elementary abelian
$p$-group, there exist collections of permutation module such that if $C^*$ is
any exact bounded complex whose terms are sums of copies of modules from the
collection, then $C^*$ is contractible. A consequence is that if $G$ is any
finite group whose Sylow $p$-subgroups are not cyclic or quaternion, and if
$C^*$ is a bounded exact complex such that each $C^i$ is direct sum of one
dimensional modules and projective modules, then $C^*$ is contractible.

10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys