Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some closure properties of the non-abelian tensor product and the
  Bogomolov multiplier   We prove that the class of nilpotent by finite, solvable by finite,
polycyclic by finite, nilpotent of nilpotency class $n$ and supersolvable
groups are closed under the formation of the non-abelian tensor product. We
provide necessary and sufficient conditions for the non-abelian tensor product
of finitely generated groups to be finitely generated. We prove that central
extensions of most finite simple groups have trivial Bogomolov multiplier.

17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio