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akron1145890623.pdf (148.8 KB)
ETD Abstract Container
Abstract Header
An Elementary Classification of the Groups of Order 81
Author Info
Garlow, Michael W.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1145890623
Abstract Details
Year and Degree
2006, Master of Science, University of Akron, Mathematics.
Abstract
The classification of finite, non-abelian groups is of interest, not only to algebraists, but to mathematicians in all fields. In general, little is known about non-abelian p-groups. However, cyclic extensions provide a convenient way to classify such groups. One particularly interesting set of
p
-groups is the groups of order
p
4
. Much has been done to classify these groups, but little has been done using cyclic extensions to do so. In this paper, I will deal with the non-abelian groups of order 81. Along the way, many general results applicable for non-abelian groups of order
p
4
will be presented. A first step in using cyclic extensions for such a problem is to prove the Cyclic Extension Theorem.
Committee
Jeffrey Adler (Advisor)
Pages
36 p.
Subject Headings
Mathematics
Keywords
Finite p-groups
;
Classification
;
Elementary
;
Groups
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Refworks
EndNote
RIS
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Citations
Garlow, M. W. (2006).
An Elementary Classification of the Groups of Order 81
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1145890623
APA Style (7th edition)
Garlow, Michael.
An Elementary Classification of the Groups of Order 81.
2006. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1145890623.
MLA Style (8th edition)
Garlow, Michael. "An Elementary Classification of the Groups of Order 81." Master's thesis, University of Akron, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1145890623
Chicago Manual of Style (17th edition)
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Document number:
akron1145890623
Download Count:
3,745
Copyright Info
© 2006, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.