2-Dimensional Groups with Action : The Category of Crossed Module of Groups with Action

TL;DR

This paper introduces the concept of crossed modules of groups with action, explores their structures, and provides computational tools using GAP to analyze these algebraic objects.

Contribution

It defines crossed modules of groups with action and develops computational methods for their analysis using GAP.

Findings

Defined the notion of crossed modules of groups with action

Developed GAP functions for computing these structures

Explored related algebraic properties

Abstract

In this paper, we define the notion of crossed modules of groups with action and investigate related structures. Functions for computing of these structures have been written using the GAP computational discrete algebra programming language.