Sulaiman, Sahimel Azwal and Mohamad, Mohd. Sham and Yusof, Yuhani and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Tan, Lit Ken and Ahmad, Tahir (2015) Compatible pair of nontrivial actions for some cyclic groups of 2-power order. In: 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014, 12 August 2014 - 14 August 2014, Kuantan, Pahang, Malaysia.
Full text not available from this repository.
Official URL: http://dx.doi.org/10.1063/1.4907515
Abstract
Compatible actions play a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient numbers of theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions which act compatibly on each other are used to investigate some properties in order to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are used to create more examples on selected cases. New results on compatible pair of nontrivial actions of order two and four for cyclic groups of 2-power order are presented in this paper.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | compatible actions, cyclic groups, nonabelian tensor product |
| Subjects: | Q Science > Q Science (General) |
| Divisions: | Science |
| ID Code: | 59197 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 18 Jan 2017 01:50 |
| Last Modified: | 22 Aug 2021 04:19 |
Repository Staff Only: item control page
