Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong quasiconvexity, stability, and lower relative divergence in
  right-angled Artin groups   Let $\Gamma$ be a simplicial, finite, connected graph such that $\Gamma$ does
not decompose as a nontrivial join. We prove that two notions of strong
quasiconvexity and stability are equivalent in the right-angled Artin group
$A_\Gamma$ (except for the case of finite index subgroups). We also
characterize non-trivial strongly quasiconvex subgroups of infinite index in
$A_\Gamma$ (i.e. non-trivial stable subgroups in $A_\Gamma$) by quadratic lower
relative divergence. These results strengthen the work of
Koberda-Mangahas-Taylor on characterizing purely loxodromic subgroups of
right-angled Artin groups.

11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin