Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action
Group Theory
2021-06-23 v1
Abstract
In this article, we discuss the Grothendieck group completion (GGC) of a gyrogroup. Consequently, we show that there is a one to one correspondence between actions and representations of a gyrogroup, and actions and representations of its Grothendieck group completion. We also introduce the concept of an action of a right gyrogroup.
Cite
@article{arxiv.2106.11727,
title = {Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action},
author = {Akshay Kumar and Mani Shankar Pandey and Seema Kushwaha and Sumit Kumar Upadhyay},
journal= {arXiv preprint arXiv:2106.11727},
year = {2021}
}