Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the group cohomology of the semi-direct product Z^n rtimes Z/m and a
  conjecture of Adem-Ge-Pan-Petrosyan   Consider the semi-direct product Z^n rtimes Z/m. A conjecture of
Adem-Ge-Pan-Petrosyan predicts that the associated Lyndon-Hochschild-Serre
spectral sequence collapses. We prove this conjecture provided that the
Z/m-action on Z^n is free outside the origin. We disprove the conjecture in
general, namely, we give an example with n=6 and m=4, where the second
differential does not vanish.

18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas