Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feit numbers and $p'$-degree characters   Suppose that $\chi$ is an irreducible complex character of $G$ and let
$f_\chi$ be the smallest integer $n$ such that the cyclotomic field $\mathbb
Q_n$ contains the values of $\chi$. Let $p$ be a prime, and assume that $\chi
\in \textrm{Irr}(G)$ has degree not divisible by $p$. If $G$ is solvable and
$\chi(1)$ is odd, then there exists $g \in {\bf N}_G(P) /P'$ with
$o(g)=f_\chi$. In particular $f_\chi$ divides $|{\bf N}_G(P) /P'|$.

18
The categories of this paper are: econ
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org