Matrix Representations of Group Algebras of General Metacyclic Groups

Kahtan H. Alzubaidy1 and Nabila M. Bennour1


1Department of Mathematics, Faculty of Science, University of Benghazi, Libya.

Abstract: In [1], we have computed matrix representations of group algebras of split metacyclic groups. In this paper we extend the computation to include the case of non-split metacyclic group.
Keywords: Group Algebra, Metacyclic Group, Circulant Matrix.


Cite this article as: Kahtan H. Alzubaidy and Nabila M. Bennour, Matrix Representations of Group Algebras of General Metacyclic Groups, Int. J. Math. And Appl., vol. 9, no. 3, 2021, pp. 33-36.

References
  1. K. H. Alzubaidy and Nabila M. Bennour, Matrix Representations of Group Algebras of Split Metacyclic Groups, International Journal of Mathematical Archive, 12(5)(2021), 8-10.
  2. Nathan Jacobson, Basic Algebra I, 2\textsuperscript{nd} Edition, Freeman, New York, (1996).
  3. J. S. Rose, A course in Group Theory, Dover, New York, (1994).
  4. Hans J. Zassenhause, The Theory of groups, 2\textsuperscript{nd} Edition, Chelsea, New York, (1956).

Back