Isomorphic subgroups of the rational numbers

Date of Publication

2010

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with Specialization in Computer Applications

Subject Categories

Physical Sciences and Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Edmundo R. Perez, Jr.

Defense Panel Chair

Kristine Joy E. Carpio

Defense Panel Member

Francis Joseph H. Campena
Michele G. Tan

Abstract/Summary

This thesis is an exposition of the article entitled When Are Two Subgroups of the Rationals Isomorphic? by Friedrich Kluempen and Denice Reboli [6]. The subgroups of the rationals is divided into two categories, finitely generated and infinitely generated. A different approach was used to answer the question for each of the category. The concept of p-height is introduce to answer the question for infinitely generated subgroups.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU16005

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

v, 29, [8] leaves ; 28 cm.

Keywords

Numbers; Rational; Isomorphisms (Mathematics)

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