Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bieri-Neumann-Strebel invariants for graph groups   Given a finite simplicial graph ${\cal G}$, the graph group $G{\cal G}$" is
the group with generators in one-to-one correspondence with the vertices of
${\cal G}$ and with relations stating two generators commute if their
associated vertices are adjacent in ${\cal G}$. The Bieri-Neumann-Strebel
invariant can be explicitly described in terms of the original graph ${\cal G}$
and hence there is an explicit description of the distribution of finitely
generated normal subgroups of $G{\cal G}$ with abelian quotient. We construct
Eilenberg-MacLane spaces for graph groups and find partial extensions of this
work to the higher dimensional invariants.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ