Commuting Pairs in Groups and Associated Probabilities

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Title: Commuting Pairs in Groups and Associated Probabilities
Author: Tyler McAfee
Faculty Sponsor: Michael Ward; Gavin Keulks
Date: 6/1/2016
Abstract: 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.
Type: Text; Honors Thesis
Department: Honors Program
Language: eng
Rights: Western Oregon University Library has determined, as of 06/01/2023, this item is in copyright, which is held by the author. Users may use the item in accordance with copyright limitations and exceptions, including fair use. For other uses, please ask permission from the author.; http://rightsstatements.org/vocab/InC/1.0/
Identifier: honors_theses/102