Skip to Main Content
 

Global Search Box

 
 
 
 

ETD Abstract Container

Abstract Header

An Elementary Classification of the Groups of Order 81

Garlow, Michael W.

Abstract Details

2006, Master of Science, University of Akron, Mathematics.
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 p4. 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 p4 will be presented. A first step in using cyclic extensions for such a problem is to prove the Cyclic Extension Theorem.
Jeffrey Adler (Advisor)
36 p.

Recommended Citations

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)