Date of Award
Master of Science
Jeb F. Willenbring
Jeb F. Willenbring, Yi Ming Zou, Gabriella Pinter
Class Equation, Conjugacy Classes, General Linear Group
In this thesis, we discuss the conjugacy classes of the general linear group of 2 x 2 matrices over a prime field. We find the number of conjugacy classes and the class equation for GL_2 (F_q) for general prime q. We then look at some applications of the class equation, which includes finding the number of orbits when GL_2 (F_q) acts on (GL_2 (F_q))^s by conjugation. Included in this thesis is the Maple Code for generating the class equation for any prime.
Mathewson, Lindsey, "The Class Equation of GL2(Fq)" (2012). Theses and Dissertations. 37.