Construction of right gyrogroup structures on a non-abelian group

TL;DR

This paper introduces class assigned functions to construct right gyrogroup structures on non-abelian groups, expanding the algebraic framework for such groups.

Contribution

It presents a novel method using class assigned functions to build right gyrogroup structures on non-abelian groups, which was not previously explored.

Findings

Successfully constructed multiple right gyrogroup structures

Provided a new approach for algebraic structure analysis

Extended the theory of gyrogroups to non-abelian groups

Abstract

In this article we gave the notion of particular type of functions on a group termed as class assigned functions . Using class assigned functions, we have constructed several right gyrogroup structures on a given non-abelian group.