Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Height in Splitting of Relatively Hyperbolic Groups   Given a finite graph of relatively hyperbolic groups with its fundamental
group relatively hyperbolic and edge groups quasi-isometrically embedded and
relatively quasiconvex in vertex groups, we prove that vertex groups are
relatively quasiconvex if and only if all the vertex groups have finite
relative height in the fundamental group.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio