Date of Award
5-2022
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Zahid Hasan
Abstract
We will examine progenitors. We start with progenitors of the form $m^{*n} : N$ where $m^{*n}$ is a free group and $N$ is a permutation group of degree $n$. But, $m^{*n} : N$ is a group of infinite order so we will factor by the necessary relations to get finite homomorphic images. These groups are constructed through the manual double coset enumeration method. We will examine how to construct progenitors for wreath products.
Recommended Citation
Gonzalez, Ana, "Symmetric Generation" (2022). Electronic Theses, Projects, and Dissertations. 1430.
https://scholarworks.lib.csusb.edu/etd/1430