Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homomorphic images of Branch groups, and Serre's property (FA)   It is shown that a finitely generated branch group has Serre's property (FA)
if and only if it does not surject onto the infinite cyclic group or the
infinite dihedral group. An example of a finitely generated self-similar branch
group surjecting onto the infinite cyclic group is constructed.

4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn