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.
Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc500684 |
Date | 08 1900 |
Creators | Sewell, Cynthia M. (Cynthia Marie) |
Contributors | Kung, Joseph P. S., Hagan, Melvin R. |
Publisher | University of North Texas |
Source Sets | University of North Texas |
Language | English |
Detected Language | English |
Type | Thesis or Dissertation |
Format | iv, 50 leaves : ill., Text |
Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Sewell, Cynthia M. (Cynthia Marie) |
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