Matrix Representations of Group Algebras of $A_4$ and $S_4$


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Authors

  • Kahtan H. Alzubaidy Department of Mathematics, University of Benghazi, Benghazi, Libya
  • Marwah S. Ibrahem Department of Mathematics, University of Benghazi, Benghazi, Libya

Keywords:

Semidirect Product, Group Algebra, Circulant Matrix

Abstract

In this paper we extend the results of [1] by using semidirect products to find the matrix representations of group algebras of the alternating group $A_4$ and the symmetric group $S_4$, when the groups $A_4$ and $S_4$ are presented by more than two generators.

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Published

04-09-2024

How to Cite

Kahtan H. Alzubaidy, & Marwah S. Ibrahem. (2024). Matrix Representations of Group Algebras of $A_4$ and $S_4$. International Journal of Mathematics And Its Applications, 12(3), 17–23. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1476

Issue

Section

Research Article