Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gyrogroups associated with groups   In this paper, we study the properties of the associated gyrogroup
${^\circ}G$ of a given group $G$ of nilpotency class $3$. We have proved that
if $3$ does not divide the order of the group $G$, then the nilpotency class of
the associated gyrogroup ${^\circ}G$ is same as that of the group $G$. We have
also studied the problem of abelian inner mapping group in this context.

33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph