Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On nilpotent automorphism groups of function fields   We study the automorphisms of a function field of genus $g\geq 2$ over an
algebraically closed field of characteristic $p>0$. More precisely, we show
that the order of a nilpotent subgroup $G$ of its automorphism group is bounded
by $16 (g-1)$ when G is not a $p$-group. We show that if $|G|=16(g-1) $, then
$g-1$ is a power of $2$. Furthermore, we provide an infinite family of function
fields attaining the bound.

34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph