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Number of Compatible Pair for Nontrivial Actions of Finite Cyclic 2-Groups

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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DOI/Official URL: http://www.utm.my/ispc2016/

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)
Uncontrolled Keywords: Compatible Actions, Cyclic Groups, Nonabelian Tensor Product
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: 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
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