Degree Type

Thesis

Date of Award

2015

Degree Name

Master of Science

Department

Mathematics

First Advisor

Jonathan D. Smtih

Abstract

A natural loop structure is defined on the set U_4 of the set of 4x4 unimodular upper-triangular matrices over a given field. Inner mappings of the loop are computed. It is shown that the loop is non-associative and nilpotent, of class 3. A detailed listing of the loop conjugacy classes is presented. In particular, one of the loop conjugacy classes is shown to be properly contained in a superclass of the corresponding algebra group.

DOI

https://doi.org/10.31274/etd-180810-4160

Copyright Owner

Michael Mbindyo Munywoki

Language

en

File Format

application/pdf

File Size

45 pages

Included in

Mathematics Commons

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