Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using a Galois connection to compute character degrees   Given a Mersenne prime $q$ and a positive even integer $e$, let $F$ and $E$
be the fields of orders $q$ and $q^e$ respectively. Let $C$ be a cyclic
subgroup of $E^\times$ whose index in $E^\times$ is divisible only by primes
dividing $q - 1$. We compute the character degrees of the group $C \rtimes {\rm
Gal} (E/F)$ by using the Galois connection between the subfields of $E$ and the
Galois group ${\rm Gal} (E/F)$.

15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs