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 gener...

Full description

Bibliographic Details
Main Author:	Sewell, Cynthia M. (Cynthia Marie)
Other Authors:	Kung, Joseph P. S.
Format:	Others
Language:	English
Published:	University of North Texas 1992
Subjects:	Eulerian functions cyclic groups dihedral groups p-groups Group theory.
Online Access:	https://digital.library.unt.edu/ark:/67531/metadc500684/

id	ndltd-unt.edu-info-ark-67531-metadc500684
record_format	oai_dc
spelling	ndltd-unt.edu-info-ark-67531-metadc5006842017-09-16T05:19:18Z The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups Sewell, Cynthia M. (Cynthia Marie) Eulerian functions cyclic groups dihedral groups p-groups Group theory. 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. University of North Texas Kung, Joseph P. S. Hagan, Melvin R. 1992-08 Thesis or Dissertation iv, 50 leaves : ill. Text call-no: 379 N81 no. 6850 local-cont-no: 1002778388-Sewell untcat: b1698662 oclc: 28525856 https://digital.library.unt.edu/ark:/67531/metadc500684/ ark: ark:/67531/metadc500684 English Public Copyright Copyright is held by the author, unless otherwise noted. All rights reserved. Sewell, Cynthia M. (Cynthia Marie)
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Eulerian functions cyclic groups dihedral groups p-groups Group theory.
spellingShingle	Eulerian functions cyclic groups dihedral groups p-groups Group theory. Sewell, Cynthia M. (Cynthia Marie) The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups
description	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.
author2	Kung, Joseph P. S.
author_facet	Kung, Joseph P. S. Sewell, Cynthia M. (Cynthia Marie)
author	Sewell, Cynthia M. (Cynthia Marie)
author_sort	Sewell, Cynthia M. (Cynthia Marie)
title	The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups
title_short	The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups
title_full	The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups
title_fullStr	The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups
title_full_unstemmed	The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups
title_sort	eulerian functions of cyclic groups, dihedral groups, and p-groups
publisher	University of North Texas
publishDate	1992
url	https://digital.library.unt.edu/ark:/67531/metadc500684/
work_keys_str_mv	AT sewellcynthiamcynthiamarie theeulerianfunctionsofcyclicgroupsdihedralgroupsandpgroups AT sewellcynthiamcynthiamarie eulerianfunctionsofcyclicgroupsdihedralgroupsandpgroups
_version_	1718536933332746240

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

Similar Items