On the uniqueness of the decomposition of finite abelian groups: A simple proof

This thesis presents a simple proof of the uniqueness of the decomposition of finite abelian groups. Finite abelian groups, which are also known as finite commutative groups, are discussed in basic abstract algebra courses with some depth. All the theorems stated in this paper are found in F.S. Cate...

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Bibliographic Details
Main Authors: Ramchandani, Divya H., Silva, Kristina B.
Format: text
Language:English
Published: Animo Repository 2007
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17464
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Institution: De La Salle University
Language: English
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Summary:This thesis presents a simple proof of the uniqueness of the decomposition of finite abelian groups. Finite abelian groups, which are also known as finite commutative groups, are discussed in basic abstract algebra courses with some depth. All the theorems stated in this paper are found in F.S. Cater's paper entitled Uniqueness of the Decomposition of Finite Abelian Groups: A Simple Proof . The researchers elaborated the definitions, concepts, and examples needed to have a further understanding of the concepts discussed in this paper.