Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Brauer groups of quasilocal fields and the norm groups of their
  finite Galois extensions   This paper shows that divisible abelian torsion groups are realizable as
Brauer groups of quasilocal fields. It describes the isomorphism classes of
Brauer groups of primarily quasilocal fields and solves the analogous problem
concerning the reduced components of the Brauer groups of two basic types of
Henselian valued absolutely stable fields. For a quasilocal field E and a
finite separable extension R/E, we find two sufficient conditions for validity
of the norm group equality $N(R/E) = N(R_{0}/E)$, where R_{0} is the maximal
abelian extension of E in R. This is used for deriving information on the
arising specific relations between Galois groups and norm groups of finite
Galois extensions of E.

8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph