Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: When the lower central series stops   Our aim here is to showcase several techniques for studying the lower central
series of a group and, in particular, for determining whether or not it stops.
We apply these techniques to various groups related to braid groups, in
particular Artin groups, surface braid groups, groups of welded and virtual
braids and partitioned versions of all of these groups.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph