Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Endotrivial Modules for the General Linear Group in a Nondefining
  Characteristic   Suppose that $G$ is a finite group such that $\operatorname{SL}(n,q)\subseteq
G \subseteq \operatorname{GL}(n,q)$, and that $Z$ is a central subgroup of $G$.
Let $T(G/Z)$ be the abelian group of equivalence classes of endotrivial
$k(G/Z)$-modules, where $k$ is an algebraically closed field of
characteristic~$p$ not dividing $q$. We show that the torsion free rank of
$T(G/Z)$ is at most one, and we determine $T(G/Z)$ in the case that the Sylow
$p$-subgroup of $G$ is abelian and nontrivial. The proofs for the torsion
subgroup of $T(G/Z)$ use the theory of Young modules for
$\operatorname{GL}(n,q)$ and a new method due to Balmer for computing the
kernel of restrictions in the group of endotrivial modules.

9
The categories of this paper are: nlin
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin