Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kazhdan quotients of Golod-Shafarevich groups   The main goal of this paper is to prove that every Golod-Shafarevich group
has an infinite quotient with Kazhdan's property $(T)$. In particular, this
gives an affirmative answer to the well-known question about non-amenability of
Golod-Shafarevich groups.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th