Gambo, Ibrahim and Sarmin, Nor Haniza and Mohamed Saleh Omer, Sanaa (2019) On some graphs of finite metabelian groups of order less than 24. Matematika, 35 (2). pp. 237247. ISSN 01278274

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Official URL: http://dx.doi.org/10.11113/matematika.v35.n2.1054
Abstract
In this work, a nonabelian metabelian group is represented by G while represents conjugacy class graph. Conjugacy class graph of a group is that graph associated with the conjugacy classes of the group. Its vertices are the noncentral conjugacy classes of the group, and two distinct vertices are joined by an edge if their cardinalities are not coprime. A group is referred to as metabelian if there exits an abelian normal subgroup in which the factor group is also abelian. It has been proven earlier that 25 nonabelian metabelian groups which have order less than 24, which are considered in this work, exist. In this article, the conjugacy class graphs of nonabelian metabelian groups of order less than 24 are determined as well as examples of some finite groups associated to other graphs are given.
Item Type:  Article 

Uncontrolled Keywords:  Disconnected graph, Conjugacy class 
Subjects:  Q Science > QA Mathematics 
ID Code:  89017 
Deposited By:  Widya Wahid 
Deposited On:  26 Jan 2021 08:41 
Last Modified:  26 Jan 2021 08:41 
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