Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On geometric aspects of diffuse groups   Bowditch introduced the notion of diffuse groups as a geometric variation of
the unique product property. We elaborate on various examples and non-examples,
keeping the geometric point of view from Bowditch's paper. In particular, we
discuss fundamental groups of flat and hyperbolic manifolds. The appendix
settles an open question by providing an example of a group which is diffuse
but not left-orderable.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th