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The Orbits of all Groups of Order 24


Haval M. Mohammed Salih1, Asaad A. Jund1 ,  Tahsin I. Rasul1

1Department of Mathematics, Faculty of Science, Soran University, Kurdistan Region- Iraq

Original: 22 November 2019       Revised: 1 May 2020     Accepted: 17 May 2020        Published online: 20 June 2020  

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Let  be a finite group of order  and   .  In this paper, we provide the associated generalized conjugacy class graph for  via computing the probability of the set  which fixes by an element of . Several properties of these graphs are given. We achieve these results with the aid of the GAP-Software (Groups, Algorithms and programming). 

Key Words: Orbit, Probability, Generalization Conjugacy Class Graph


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