Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On number of ends of graph products of groups   Given a finite simplicial graph $\Gamma=(V,E)$ with a vertex-labelling
$\varphi:V\rightarrow\left\{\text{non-trivial finitely generated
groups}\right\}$, the graph product $G_\Gamma$ is the free product of the
vertex groups $\varphi(v)$ with added relations that imply elements of adjacent
vertex groups commute. For a quasi-isometric invariant $\mathcal{P}$, we are
interested in understanding under which combinatorial conditions on the graph
$\Gamma$ the graph product $G_\Gamma$ has property $\mathcal{P}$. In this
article our emphasis is on number of ends of a graph product $G_\Gamma$. In
particular, we obtain a complete characterization of number of ends of a graph
product of finitely generated groups.

4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg