Date of Award

2019

Document Type

Thesis

Degree Name

Bachelors

Department

Natural Sciences

First Advisor

Poimenidou, Eirini

Area of Concentration

Mathematics

Abstract

The power graph of a group is the graph in which each element of the group is represented by a vertex, and two vertices are joined by an edge if one of their corresponding elements is a power of the other. Current research on power graphs investigates how power graphs reflect the structure of the groups they represent, and how much information about the group can be gleaned from looking at the power graph alone. This thesis aims to explore some of the properties of the power graphs of finite groups, and in particular, prove some new results on the power graphs of Frobenius groups.

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