Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An explicit formula for the action of a finite group on a commutative
  ring   Let G be a group which acts on a commutative ring k. We exhibit an induction
formula which expresses an element x_G with tr_G(x_G)=1 by elements x_P with
tr_P(x_P)=1, where P varies over prime order subgroups of P.

16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph