Title

Groups of Graphs of Groups

Document Type

Thesis

Publication Date

2011

Advisor

Thomas Sibley, Mathematics

Abstract

Groups can be graphically represented using edge colored graphs. For a given group G, the color preserving bijections of the graph of G form a group themselves, called the isometry group. I did research in collaboration with David Byrne. The central goal of our research was to classify the isometry groups of all groups. My thesis covers the theorems I have shown that have contributed to our complete classification.

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