THE RESULT INVOLUTION GRAPHS OF FINITE GROUPS: A REVIEW
Manar musab FTEKHAN, Ali Abd Aubad · MINAR International Journal of Applied Sciences and Technology · 2024
Yield analysis, which involves graphing the behaviors of groups, is unquestionably one of the most crucial methods for studying group structure.When an element of a certain group has order 2, it is an involution.The involutions of any group have a major impact on its structure.Suppose that I(G) stand for the set of every involution element which located inside a finite group G.Then, with G as the vertex set and two vertices adjacent if they are not equal and their product located inside I(G), the result involution graph is an undirected simple graph.This paper aims to provide a comprehensive review of the result involution graphs for a number of simple groups and finite groups.Moreover, we analyze the results pertaining to the structural features associated with these graphs.These results can be classified within graph theory and group theory.However, a computational approach was employed to obtain the desired results.