Degree Type

Dissertation

Date of Award

2001

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Jonathan D. H. Smith

Abstract

We study the class of non-associative finite simple Moufang loops, called Paige loops. We obtain results about their generators, automorphisms, presentations, and subloop structure. The work combines methods of loop theory, group theory, composition algebras, and combinatorics. See Section 1.5 of the thesis for details.

DOI

https://doi.org/10.31274/rtd-180813-53

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu

Copyright Owner

Petr Vojtěchovský

Language

en

Proquest ID

AAI3034234

File Format

application/pdf

File Size

128 pages

Included in

Mathematics Commons

Share

COinS