Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the order and the index of a subgroup in a polycyclic group   This contains a new version of the so-called non-commutative Gauss algorithm
for polycyclic groups. Its results allow to read off the order and the index of
a subgroup in an (possibly infinite) polycyclic group.

10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga