Groups of Graphs of Groups
Mathematics | Physical Sciences and Mathematics
Thomas Sibley, Mathematics
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.
Donner, Matthew, "Groups of Graphs of Groups" (2011). Honors Theses, 1963-2015. 134.