New result in NG-Groups

TL;DR

This paper explores properties of NG groups, introduces new concepts like regular NG and inverse NG, and demonstrates that non-bijective transformations in NG groups cannot be subsets of symmetric groups.

Contribution

It revives NG group concepts and introduces regular NG and inverse NG, expanding the theoretical understanding of these groups.

Findings

Non-bijective transformations in NG groups cannot be subsets of symmetric groups

Introduction of regular NG and inverse NG concepts

Studied properties of these new NG group variants

Abstract

We investigate and present a new result in NG groups that consisting of consisting of non-bijective transformations cannot be subset of symmetric groups. In this paper, we revive the concepts of NG groups. Moreover, we introduce the definition of regular NG and inverse NG the new concept as new results in these groups. Hover, some properties are studied.