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The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-GroupsSewell, Cynthia M. (Cynthia Marie) 08 1900 (has links)
In 1935, Philip Hall developed a formula for finding the number of ways of generating the group of symmetries of the icosahedron from a given number of its elements. In doing so, he defined a generalized Eulerian function. This thesis uses Hall's generalized Eulerian function to calculate generalized Eulerian functions for specific groups, namely: cyclic groups, dihedral groups, and p- groups.
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