Date of Award
11-2024
Degree Type
Thesis
Degree Name
Master of Science
Department
Math and Computer Science
Program
Mathematics (MS)
First Advisor/Chairperson
Dr. Daniel Rowe
Abstract
We investigate conditions under which the commutant of a Moufang loop is normal and related topics. We begin by giving relevant background on Moufang loops and normality. We then prove a theorem showing how close the commutant is to being normal: cR(x, y)R(x, y)R(x, y) = c. We then prove a couple of theorems emphasizing the importance of cubes in Moufang loops. Finally we prove a decomposition theorem for the multiplication group of a finite commutative Moufang loop.
Recommended Citation
Phillips, Evan, "The Near Normality of the Commutant of a Moufang Loop" (2024). All NMU Master's Theses. 865.
https://commons.nmu.edu/theses/865
Access Type
Open Access
DOC.pdf (14 kB)