Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology of finite groups without homological algebra   We prove explicit and elementary formulas for the group homology and
cohomology of a finite group with coefficients in any module. We describe in
elementary terms the cohomology algebra $H^*(G,k)$ as a graded algebra for a
finite group $G$ and a commutative ring $k.$

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics