On Some Graphs of Finite Metabelian Groups of Order Less Than 24
DOI:
https://doi.org/10.11113/matematika.v35.n2.1054Abstract
In this work, a non-abelian 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 non-central 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 non-abelian metabelian groups which have order less than 24, which are considered in this work, exist. In this article, the conjugacy class graphs of non-abelian metabelian groups of order less than 24 are determined as well as examples of some finite groups associated to other graphs are given.Downloads
Published
31-07-2019
How to Cite
Gambo, I., Sarmin, N. H., & Saleh Omer, S. M. (2019). On Some Graphs of Finite Metabelian Groups of Order Less Than 24. MATEMATIKA, 35(2), 237–247. https://doi.org/10.11113/matematika.v35.n2.1054
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