Solving Frobenius Equation in the Large Mathieu Groups 1

Authors

  • Saeed A. Taban, Alaa A. Jaleel Department of Mathematics, College of Science, University of Basrah, Basra, Iraq Author

Keywords:

Large Mathieu Groups; Frobenius Equation; a Sporadic Simple group; Conjugacy Classes.

Abstract

In this paper, the solutions of Frobenius equation   are investigated in the large Mathieu groups M22 and M23 where n is a positive integer, and   are conjugacy classes.  Furthermore, three algorithms in GAP system are provided to compute the number of solutions and solutions itself (if exists) for this equation.

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Published

2021-04-30

Issue

Vol. 39 No. 1 (2021)

Section

Mathematics

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.