On the properties of the order of a product in a finite abelian group
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, resp...
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oai:animorepository.dlsu.edu.ph:etd_bachelors-170232021-11-29T06:52:03Z On the properties of the order of a product in a finite abelian group Sarmiento, Brian R. Siao, Bryant C. 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. 1998-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16510 Bachelor's Theses English Animo Repository Group algebras Abelian groups Group theory Number theory Algebra, Abstract |
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Group algebras Abelian groups Group theory Number theory Algebra, Abstract |
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Group algebras Abelian groups Group theory Number theory Algebra, Abstract Sarmiento, Brian R. Siao, Bryant C. On the properties of the order of a product in a finite abelian group |
| description |
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. |
| format |
text |
| author |
Sarmiento, Brian R. Siao, Bryant C. |
| author_facet |
Sarmiento, Brian R. Siao, Bryant C. |
| author_sort |
Sarmiento, Brian R. |
| title |
On the properties of the order of a product in a finite abelian group |
| title_short |
On the properties of the order of a product in a finite abelian group |
| title_full |
On the properties of the order of a product in a finite abelian group |
| title_fullStr |
On the properties of the order of a product in a finite abelian group |
| title_full_unstemmed |
On the properties of the order of a product in a finite abelian group |
| title_sort |
on the properties of the order of a product in a finite abelian group |
| publisher |
Animo Repository |
| publishDate |
1998 |
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https://animorepository.dlsu.edu.ph/etd_bachelors/16510 |
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1772835081693429760 |