Non-Abelian Groups with Perfect Order Subsets

Authors

Hongying Zhao

Document Type

Thesis

Publication Date

2012

Disciplines

Mathematics

Abstract

The purpose of this paper is to explore non-abelian finite groups with perfect order subsets. A finite group is said to have perfect order subsets (POS) if the number of elements of each given order can divide the order of the group. The study of such groups was initiated by Carrie E. Finch and Lenny Jones. In this paper, we construct POS-groups by considering semi-direct products of cyclic groups (and sometimes quaternions).

Comments

Advisor: Bret Benesh

Recommended Citation

Zhao, Hongying, "Non-Abelian Groups with Perfect Order Subsets" (2012). Mathematics Student Work. 2.
https://digitalcommons.csbsju.edu/math_students/2