Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parabolic subgroups of Artin groups of FC type   Parabolic subgroups are the building blocks of Artin groups. This paper
extends previous results, known only for parabolic subgroups of finite type
Artin groups, to parabolic subgroups of FC type Artin groups. We show that the
class of finite type parabolic subgroups is closed under intersection. We also
study an analog of the curve complex for mapping class group constructed using
parabolic subgroups. We extend the construction of the complex of parabolic
subgroups to FC type Artin groups. We show that this simplicial complex is, in
most cases, infinite diameter and conjecture that it is $\delta-$hyperbolic.

3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph