Computations for the groups SL(2,81) and SL(2,729)

Lfta, Mohammed Ibrahem; Jasim, Niran Sabah

doi:10.47974/JIM-1553

Open Access Research Article

Computations for the groups SL(2,81) and SL(2,729)

^*Mohammed Ibrahem LftaCorresponding authormohammed.ibrahim1203a@ihcoedu.uobaghdad.edu.iqDirectorate General of Education Karkh, Ministry of EducationBaghdad, IraqView full profile → , Niran Sabah Jasimniraan.s.j@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn al-Haitham)University of BaghdadBaghdad, Iraq000-0001-5340-3020View full profile →

* Corresponding author · click or hover a name for details

pp. 1373–1378Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1553XML

Published Online:: 28 Oct 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1553
Pages:: 1373–1378

Abstract

For any group G, we define G/H (read” G mod H”) to be the set of left cosets of H in G and this set forms a group under the operation (a)(bH) = abH. The character table of rational representations study to gain the K( SL(2,81)) and K( SL(2, 729)) in this work.

Keywords

Representation Character table Rational character table Factor group Diametrical matrix

Subject Classifications

05C2505E15

References

[1] Hall, Brian C. : Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer (2015).
[2] Haytham R. H. and Niran S. J. : Exactness for a complex sequence in the skew shape (8,8)/(1,0), Journal of Interdisciplinary Mathematics (2021), DOI:10.1080/09720502.2021.1892271.
[3] Dunya M. H., Ahmed K. M., Intidhar Z. M. : Score for some Groups SUT(2,p), Int. J. Nonlinear Anal. Appl., Vol. 12, No. 2, pp.1-15 (2021).
[4] Niran S.J., Sawsan J.K. and Ahmed I.A. : Enforcement for the partition (7, 7, 4; 0, 0), Journal of Interdisciplinary Mathematics (2021), DOI:10.1080/09720502.2021.1892272.
[5] Mohamed S. K. : On Rational -Valued Characters of Certain Types of Permutation Group, Ibn Al-Haitham Journal for Pure and Applied
Sciences, Vol.19(4), pp.99-108 (2006).
[6] Hassan H. R. : The Reduction of Resolution of Weyl Module From Characteristic-Free Resolution in Case (4,4,3), Ibn Al-Haitham Journal for Pure and Applied Science, Vol. 25(3), pp.341-355 (2012).
[7] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611.

Views: 237Downloads: 35Citations: 0