Date of Award
6-2015
Document Type
Open Access
Degree Name
Bachelor of Science
Department
Mathematics
First Advisor
Karl Zimmermann
Language
English
Keywords
groups, order, thesis, classifying, group
Abstract
This thesis will provide an overview of various topics in group theory, all in order to accomplish the end goal of classifying all groups of order up to 15. An important precursor to classifying finite order groups, the Sylow Theorems illustrate what subgroups of a given group must exist, and constitute the first half of this thesis. Using these theorems in the latter sections we will classify all the possible groups of various orders up to isomorphism. In concluding this thesis, all possible distinct groups of orders up to 15 will be defined and the groundwork set for further study.
Recommended Citation
Stearns, William, "The Sylow Theorems and Classification of Small Finite Order Groups" (2015). Honors Theses. 395.
https://digitalworks.union.edu/theses/395