Representation of group algebra of 16 order non-abelian groups

  • Nabila M. Bennour
  • Ebtisam Nafia Ahmouda
Keywords: Circulant Matrix, Group Algebra, Semidirect Product, Non-abelian Group.

Abstract

Group algebras of non-abelian groups of order 16 are represented in terms of block circulant matrices. These are nine groups listed according to the property of semidirect and the numbers of generators involved.

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References

Kahtan H. Alzubaidy, Nabila M. Bennour, Matrix Representation of Group Algebras of General Metacyclic Groups, International Journal of Mathematics and its Applications, 2021,9(3), 33-36.

Nabila M. Bennour and Kahtan H. Alzubaidy, Representation of Group Algebras of Non-Abelian Groups of order p^3, for a Prime p≥3, European Journal of Mathematics and Statistics, 2024; 5(2), 1-5.

David Clausen, Classifying All Groups of Order 16, University of Puget Sound

Spring 2012, http://www.gnu.org/copyleft/fdl.html.

Nathan Jacobson, Basic Algebra I, 2nd edition, W.H. Freeman New York 1996.

David S. Dummit, Richard M. Foote, Abstract Algebra, 3rd edition. Wiley, 2003.

Published
2025-08-10
How to Cite
M. Bennour, N., & Nafia Ahmouda, E. (2025). Representation of group algebra of 16 order non-abelian groups. GPH-International Journal of Mathematics, 8(7), 119-126. https://doi.org/10.5281/zenodo.16788827