Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational representations and permutation representations of finite
  groups   We investigate the question which Q-valued characters and characters of
Q-representations of finite groups are Z-linear combinations of permutation
characters. This question is known to reduce to that for quasi-elementary
groups, and we give a solution in that case. As one of the applications, we
exhibit a family of simple groups with rational representations whose smallest
multiple that is a permutation representation can be arbitrarily large.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int