Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof and Mohammed Khalid, Shahoodh (2016) Number of Compatible Pair for Nontrivial Actions of Finite Cyclic 2-Groups. In: Proceedings of 4th International Science Postgraduate Conference 2016 (ISPC2016) , 22-24 February 2016 , Universiti Teknologi Malaysia. pp. 161-165.. ISBN 978-967-0194-54-7
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Abstract
The nonabelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the action act compatibly on each other. The compatible pair for nontrivial actions for finite cyclic 2-groups can be found by using the necessary and sufficient conditions of two finite cyclic 2-groups act compatibly on each other. Hence, the exact number of compatible pair of nontrivial actions for finite cyclic 2-groups are computed and given as a main result in this paper.
| Item Type: | Conference or Workshop Item (Lecture) |
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| Uncontrolled Keywords: | Compatible Actions, Cyclic Groups, Nonabelian Tensor Product |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Faculty of Industrial Sciences And Technology |
| Depositing User: | PM Dr. Yuhani Yusof |
| Date Deposited: | 30 May 2017 04:28 |
| Last Modified: | 06 Feb 2018 03:05 |
| URI: | http://umpir.ump.edu.my/id/eprint/16067 |
| Download Statistic: | View Download Statistics |
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