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
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)
Recommended Citation
Gustilo, R. (2010). Isomorphic subgroups of the rational numbers. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/2442