Date of Award
Undergraduate Honors Thesis/Project
Honors Program Director
My area of research focuses on a _eld in mathematics called group theory. More speci_cally I will look at commutativity of pairs of elements in particular groups and the probabilities associated with them. My thesis will have both general and speci_c sections. This will allow me to generalize commutativity and more importantly, the probability associated with commuting pairs, before applying those generalizations to speci_c groups. Two groups will be focused on primarily, namely the dihedral groups and the matrix group GL(2; Zp). My hope is that my work will be presented in a manner that allows mathematicians to obtain a better understanding of the theory involved. I will represent the theory with mathematical proof, both adapted from other papers and original ones as well. I enjoyed studying group theory previously and am looking forward to diving deeper into its application.
McAfee, Tyler, "Commuting Pairs in Groups and Associated Probabilities" (2016). Honors Senior Theses/Projects. 102.