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The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups

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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc500684
Date08 1900
CreatorsSewell, Cynthia M. (Cynthia Marie)
ContributorsKung, Joseph P. S., Hagan, Melvin R.
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formativ, 50 leaves : ill., Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Sewell, Cynthia M. (Cynthia Marie)

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