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Compatible action graph for finite cyclic p-groups

Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof and Mohamad Khalid, Shahood (2018) Compatible action graph for finite cyclic p-groups. In: 4th International Conference On Science, Engineering and Environment, 12 -14 November 2018 , Meitetsu New Grand Hotel, Nagoya. pp. 1-6.. (Unpublished)

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Abstract

The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of groups. For this goal, the compatible action graph for the finite cyclic groups of the p-power order has been defined and used to find the number of the compatible pairs of actions that have the p-power order, which represents the intersection between the compatible action graph and its subgraph. Furthermore, some properties of compatible action graph and its subgraph are given.

Item Type: Conference or Workshop Item (Speech)
Uncontrolled Keywords: Nonabelian tensor product; Cyclic groups; Automorphism group; Compatible actions; Graph theory
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Pn. Hazlinda Abd Rahman
Date Deposited: 07 Dec 2018 01:00
Last Modified: 07 Dec 2018 01:01
URI: http://umpir.ump.edu.my/id/eprint/22130
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