On Isomorphism Theorems and Characterizing Properties of Groups

Authors

Presenter(s)

Jack M. Dalton

Comments

This presentation was given live via Zoom at 10:00 a.m. (Eastern Time) on Wednesday, April 22.

Files

Description

In group theory, understanding properties of groups is essential. However, in some circumstances determining the properties of groups is challenging because of the structure or ambiguity of a group. The Isomorphism Theorems provide a solution to this challenge. When two groups are isomorphic to one another, it is said that those two groups have the same properties as each other. Given a group G and subgroups N and K of G, the First, Second, and Third Isomorphism Theorems allow us to find isomorphisms between different groups. In this study, we examine the proofs for the Isomorphism Theorems to understand which groups we can claim are isomorphic to each other.

Publication Date

4-22-2020

Project Designation

Capstone Project

Primary Advisor

Atif A. Abueida

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project, College of Arts and Sciences

Recommended Citation

"On Isomorphism Theorems and Characterizing Properties of Groups" (2020). Stander Symposium Projects. 1810.
https://ecommons.udayton.edu/stander_posters/1810