Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order
The nonab elian tensor pro ducts of groups originated from a generalized Van Kamp en Theorem and its construction has its origins in algebraic K-theory and in homotopy theory.In this research,cyclic groups of p-p ower order where p is a prime numb er are considered.The aim of this research is to pro...
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| Format: | Undergraduates Project Papers |
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2012
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| Online Access: | http://umpir.ump.edu.my/id/eprint/4577/ http://umpir.ump.edu.my/id/eprint/4577/ http://umpir.ump.edu.my/id/eprint/4577/1/MOHD_SHAM_MOHAMAD_CD6144.pdf |
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ump-45772017-08-17T02:19:36Z http://umpir.ump.edu.my/id/eprint/4577/ Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order Mohd Sham, Mohamad QA Mathematics The nonab elian tensor pro ducts of groups originated from a generalized Van Kamp en Theorem and its construction has its origins in algebraic K-theory and in homotopy theory.In this research,cyclic groups of p-p ower order where p is a prime numb er are considered.The aim of this research is to prove that the nonabelian tensor pro ducts of some ï¬nite cyclic groups of p-p ower order are cyclic.This research starts with the characterization of automorphisms of cyclic groupsof p-p ower order using numb er theoretical results where the order of the actions are considered.Then,the necessary and sufcient conditions for the actions to b ecompatible are determined for a pair of ï¬nite cyclic groups.Finally,by using a general expansion formula,the nonab elian tensor pro ducts of some cyclic groups of p-p ower order are proven to b e cyclic.The results of this research show that the nonabelian tensor pro duct of cyclic groups of p-p ower order where p is an odd prime with two-sided actions are cyclic.Furthermore,the nonab elian tensor product of cyclic groups of 2-power order with two-sided actions and b oth actions have order greater than two have been proven to b e also cyclic 2012-03 Undergraduates Project Papers NonPeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/4577/1/MOHD_SHAM_MOHAMAD_CD6144.pdf Mohd Sham, Mohamad (2012) Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order. Faculty of Science, Universiti Teknologi Malaysia. http://iportal.ump.edu.my/lib/item?id=chamo:63759&theme=UMP2 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Malaysia Pahang |
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UMP Institutional Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mohd Sham, Mohamad Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order |
| description |
The nonab elian tensor pro ducts of groups originated from a generalized Van Kamp en Theorem and its construction has its origins in algebraic K-theory and in homotopy theory.In this research,cyclic groups of p-p ower order where p is a prime numb er are considered.The aim of this research is to prove that the nonabelian tensor pro ducts of some ï¬nite cyclic groups of p-p ower order are cyclic.This research starts with the characterization of automorphisms of cyclic groupsof p-p ower order using numb er theoretical results where the order of the actions are considered.Then,the necessary and sufcient conditions for the actions to b ecompatible are determined for a pair of ï¬nite cyclic groups.Finally,by using a general expansion formula,the nonab elian tensor pro ducts of some cyclic groups of p-p ower order are proven to b e cyclic.The results of this research show that the nonabelian tensor pro duct of cyclic groups of p-p ower order where p is an odd prime with two-sided actions are cyclic.Furthermore,the nonab elian tensor product of cyclic groups of 2-power order with two-sided actions and b oth actions have order greater than two have been proven to b e also cyclic |
| format |
Undergraduates Project Papers |
| author |
Mohd Sham, Mohamad |
| author_facet |
Mohd Sham, Mohamad |
| author_sort |
Mohd Sham, Mohamad |
| title |
Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order |
| title_short |
Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order |
| title_full |
Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order |
| title_fullStr |
Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order |
| title_full_unstemmed |
Compatibility conditions and nonabelian tensor products of finite cyclic groups of Ï-power order |
| title_sort |
compatibility conditions and nonabelian tensor products of finite cyclic groups of ï-power order |
| publishDate |
2012 |
| url |
http://umpir.ump.edu.my/id/eprint/4577/ http://umpir.ump.edu.my/id/eprint/4577/ http://umpir.ump.edu.my/id/eprint/4577/1/MOHD_SHAM_MOHAMAD_CD6144.pdf |
| first_indexed |
2023-09-18T21:59:17Z |
| last_indexed |
2023-09-18T21:59:17Z |
| _version_ |
1777414289489920000 |