The Near Normality of the Commutant of a Moufang Loop

<p>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.</p>

Name thesis:degree_name

Master of Science

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Math and Computer Science

Year dc:date.available

2024

Author dc:creator

• Phillips, Evan

Contributors dc:contributor

• Dr. Daniel Rowe

• Moufang
• Loop
• Commutant
• Normal
• Algebra

Repository record dc:identifier

https://commons.nmu.edu/theses/865

OAI identifier oai:identifier

oai:commons.nmu.edu:theses-1922