Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On index-exponent relations over Henselian fields with local residue
  fields   Let $p$ be a prime number and $(K, v)$ a Henselian valued field with a
residue field $\widehat K$. This paper determines the Brauer $p$-dimension of
$K$, in case $p \neq {\rm char}(\widehat K)$ and $\widehat K$ is a
$p$-quasilocal field properly included in its maximal $p$-extension. When
$\widehat K$ is a local field, it describes index-exponent pairs of central
division $K$-algebras of $p$-primary degrees. The same goal is achieved, if
$(K, v)$ is maximally complete, char$(K) = p$ and $\widehat K$ is local.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex