Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principal blocks with 5 irreducible characters   We show that if the principal p-block of a finite group G contains exactly 5
irreducible ordinary characters, then a Sylow p-subgroup of G has order 5, 7 or
is isomorphic to one of the non-abelian 2-groups of order 8.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess