On the properties of the order of a product in a finite abelian group
Date of Publication
1998
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 is based on the article entitled On The Order of a Product in a Finite Abelian Group , by Dieter Jungnickel, which appeared on the Volume 69, February 1996 issue of the Mathematics Magazine.
Let a and b be elements of a finite abelian group G and let m and n be the orders of a and b, respectively. It is common knowledge that the order of ab divides the least common multiple of m and n (lcm[m,n]). Many people make the mistake of assuming that the order of ab equals the lcm[m,n]. We show some counterexamples to this and find some bounds on the order of ab.
Abstract Format
html
Language
English
Format
Accession Number
TU08784
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
63 leaves
Keywords
Group algebras; Abelian groups; Group theory; Number theory; Algebra, Abstract
Recommended Citation
Sarmiento, B. R., & Siao, B. C. (1998). On the properties of the order of a product in a finite abelian group. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16510
