Date of Graduation
Spring 2016
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Richard Belshoff
Abstract
In the study of finite groups, it is a natural question to consider the number of distinct cyclic subgroups of a given finite group. Following an article by M. Tarnauceanu in the American Mathematical Monthly, we consider arithmetic relations between the order of a finite group and the number of its cyclic subgroups. We classify several infinite families of finite groups in this fashion and expand upon an open problem posed in the article.
Keywords
abstract algebra, group theory, finite group, cyclic subgroup, Lagrange's Theorem
Subject Categories
Mathematics
Copyright
© Joseph Dillstrom
Recommended Citation
Dillstrom, Joseph, "On The Number Of Distinct Cyclic Subgroups Of A Given Finite Group" (2016). MSU Graduate Theses/Dissertations. 2547.
https://bearworks.missouristate.edu/theses/2547
