Gyrogroup extensions and semi cross product
Group Theory
2021-11-11 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2110.03948,
title = {Gyrogroup extensions and semi cross product},
author = {Akshay Kumar and Mani Shankar Pandey and Seema Kushwaha and Sumit Kumar Upadhyay},
journal= {arXiv preprint arXiv:2110.03948},
year = {2021}
}