On quasinormal subgroups
Date of Publication
1995
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper presents to the undergraduate students a new concept on Group Theory called quasinormal subgroup. This generalization of normal subgroups was introduced by Oystein Ore in his article Structures and Group Theory I. Every normal subgroup is a quasinormal subgroup. The converse however is not true. This was shown in the article written by Dean Hickerson, Sherwin Stein and Kenya Yamaoka entitled When Quasinormal Implies Normal, which was the basic reference of this paper.This paper discusses some of the differences between normal and quasinormal subgroups. Some sufficient conditions so that quasinormal subgroups are normal are given in some theorems proved in this paper. Examples of quasinormal subgroups which are not normal and which are normal are also provided in this paper.
Abstract Format
html
Language
English
Format
Accession Number
TU07046
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
73 leaves
Keywords
Quasigroups; Groups, Theory of; Finite groups
Recommended Citation
Chua, K. O., & Lim, A. O. (1995). On quasinormal subgroups. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16245