Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embeddings of the braid groups of covering spaces, classification of the
  finite subgroups of the braid groups of the real projective plane, and
  linearity of braid groups of low-genus surfaces   Let M be a compact, connected surface, possibly with a finite set of points
removed from its interior. Let d,n be positive integers, and let N be a d-fold
covering space of M. We show that the covering map induces an embedding of the
n-th braid group B_n(M) of M in the (dn)-th braid group B_{dn}(N) of N, and
give several applications of this result. First, we classify the finite
subgroups of the n-th braid group of the real projective plane, from which we
deduce an alternative proof of the classification of the finite subgroups of
the mapping class group of the n-punctured real projective plane due to
Bujalance, Cirre and Gamboa. Secondly, using the linearity of B_{n} due to
Bigelow and Krammer, we show that the braid groups of compact, connected
surfaces of low genus are linear.

8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess