Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gyrogroup extensions and semi cross product   The aim of the article is to study the extension theory of gyrogroups under
certain conditions. Consequently, we see that there is an equivalence between
the category GEXT of group-gyro extensions and the category GFAC of group-gyro
factor systems. We also give a notion of semi cross product of a group and a
gyrogroup which is a construction method of a larger class of gyrogroups.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom