Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic properties of configuration sets for groups   Let $G$ be any group and $k\geq 1$ be an integer number. The ordered
configuration set of $k$ points in $G$ is given by the subset
$F(G,k)=\{(g_1,\ldots,g_k)\in G\times \cdots\times G: g_i\neq g_j \text{ for }
i\neq j\}\subset G^k$. In this work, we will study the configuration set
$F(G,k)$ in algebraic terms as a subset of the product $G^k=G\times
\cdots\times G$. As we will see, we develop practical tools for dealing with
the configuration set of $k$ points in $G$, which, to our knowledge, can not be
found in literature.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ