Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groups acting purely loxodromically on products of hyperbolic graphs   We consider the class of countable groups possessing an action on a finite
product of hyperbolic graphs where every infinite order element acts
loxodromically. When the graphs are locally finite, we obtain strong structure
theorems for the groups in this subclass, so that mapping class groups of genus
at least 3 (and $Aut(F_n)$ and $Out(F_n)$ for $n\geq 4$) are not in this
subclass. This contrasts with the general case, where Bestvina, Bromberg and
Fujiwara showed the existence of proper actions of mapping class groups on a
finite product of quasitrees. In particular these quasitrees cannot be locally
finite.

28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat