We will examine progenitors. We begin with progenitors of the from $m^{*n} : N$ where $m^{*n}$ is a free group and $N$ is a permutation group of degree $n$. Now $m^{*n} : N$ is a group of infinite order so we will factor by the necessary relations to get the finite homomorphic images. We construct these groups through the method of double coset enumeration paying special attention to the proving of each relation.
Identifer | oai:union.ndltd.org:csusb.edu/oai:scholarworks.lib.csusb.edu:etd-1863 |
Date | 01 December 2018 |
Creators | Webster, Joel |
Publisher | CSUSB ScholarWorks |
Source Sets | California State University San Bernardino |
Detected Language | English |
Type | text |
Format | application/pdf |
Source | Electronic Theses, Projects, and Dissertations |
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