Construction of Gyrogroups of Order $2^n$ by Cyclic 2-Groups
Group Theory
2023-03-03 v1
Abstract
A gyrogroup is a structure constituting from a non-empty set and a binary operation such that satisfying the left identity, and left inverse conditions, and also has the associative-like law said to be left gyroassociativity and left loop property. In this paper, we propose a method for constructing new gyrogroups of order by a cyclic 2-group that is , where .
Cite
@article{arxiv.2303.01066,
title = {Construction of Gyrogroups of Order $2^n$ by Cyclic 2-Groups},
author = {Abraham A. Ungar and Mohammad Ali Salahshour and Kurosh Mavaddat Nezhaad},
journal= {arXiv preprint arXiv:2303.01066},
year = {2023}
}