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Date of Award


Document Type

Restricted Thesis: Campus only access

Degree Name

Master of Arts in Mathematics



First Reader/Committee Chair

Hasan, Zahid


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.