Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Fitting height of soluble groups admitting a coprime
  factorisation   In this paper we are concerned with finite soluble groups $G$ admitting a
factorisation $G=AB$, with $A$ and $B$ proper subgroups having coprime order.
We are interested in bounding the Fitting height of $G$ in terms of some
group-invariants of $A$ and $B$: including the Fitting heights and the derived
lengths.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess