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Open Access Research Article

Result of the projective special unitary groups 𝓟𝓢𝓤(3,49) and 𝓟𝓢𝓤(3,169)

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pp. 2745–2750Vol. 29Issue 7July 2026DOI: 10.47974/JDMSC-2317 Crossmark XML
Received:
01 Feb 2025
Published Online:
31 Jul 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2317
Pages:
2745–2750

Abstract

The cyclic decomposition (cy.dec.) for the groups 𝓟𝓢𝓤(3,49) and 𝓟𝓢𝓤(2,169) after gain the conjugacy classes and the character table (cha.ta.) of rational representations (ra.re.) for each group survey in this work.

Keywords

Subject Classifications

13D07

References

[1] W. A. Simpson and J. S. Frame, “The Character Tables for Sl(3,q), SU(3,q2), PSL(3,q), PSU(3,q2),” Can. J. Math., vol. 25, no. 3, pp. 486–494 (1973), doi: 10.4153/CJM-1973-049-7.

[2] N. A. S. Salem and N. S. Jasim, “Circularity Segmentation for the Groups PSL(2,23) and PSL(2,29),” in Proc. 1st Samarra Int. Conf. Pure and Applied Sciences (SICPS2021), AIP Conf. Proc., vol. 2394, pp. 070032-1–070032-5 (2022), doi: 10.1063/5.0121782.

[3] S. S. N. Alhuda and S. J. Niran, “Periodical split for the groups PSL(2,31) and PSL(2,37),” J. Discrete Math. Sci. Cryptogr., vol. 25, no. 2, pp. 605–608 (2022), doi: 10.1080/09720529.2021.1982490.

[4] S. A. Khalaf and S. J. Jasim, “Calculation for the groups SL(2,U), U = 31 and 37,” J. Discrete Math. Sci. Cryptogr., vol. 25, no. 2, pp. 609–613 (2022), doi: 10.1080/09720529.2021.1972614.

[5] S. A. Khalaf and S. J. Jasim, “Consequences for the groups SL(2,U), U = 23 and 29,” in Proc. 1st Samarra Int. Conf. Pure and Applied Sciences (SICPS2021), AIP Conf. Proc., vol. 2394, pp. 070031-1–070031-7 (2022), doi: 10.1063/5.0121781.

[6] M. I. Lfta and N. S. Jasim, “Computations for the groups SL(2,81) and SL(2,729),” J. Interdiscip. Math., vol. 26, no. 7, pp. 1373–1378 (2023), doi: 10.47974/JIM-1553.

[7] M. Salah and N. S. Jasim, “Enforcement for the groups SL(2,125) and SL(2,3125),” J. Interdiscip. Math., vol. 26, no. 7, pp. 1379–1384 (2023), doi: 10.47974/JIM-1554.

[8] G. A. Khalaf and N. S. Jasim, “Score for the groups SL(2,121) and SL(2,169),” J. Interdiscip. Math., vol. 26, no. 7, pp. 1385–1390 (2023), doi: 10.47974/JIM-1555.

[9] K. K. Ajeena and H. Kamarulhaili, “On the distribution of scalar k for elliptic scalar multiplication,” AIP Conf. Proc., vol. 1682, pp. 020052-1–020052-6 (2015), doi: 10.1063/1.4932461.

[10] H. A. Ahmed and A. H. Majeed, “Γ-(λ,δ)-derivation on semi-group ideals in prime γ-near-ring,” Iraqi Journal of Science, vol. 61, no. 3, pp. 600–607 (2020), doi: 10.24996/IJS.2020.61.3.16.

[11] N. F. Mohammed, S. G. Gasim, and A. S. Mohammed, “On cohomology groups of four-dimensional nilpotent associative algebras,” Baghdad Sci. J., vol.19, no. 2, pp.329–336 (2022), doi: 10.21123/BSJ.2022.19.2.0329.

[12] A. A. Neamah, A. H. Majeed, and A. Erfanian, “The generalized Cayley graph of complete graph Kn and complete multipartite graphs Kn,n and Kn,n,n,” Iraqi Journal of Science, vol. 63, no. 7, pp. 3103–3110 (2022), doi: 10.24996/IJS.2022.63.7.31.

[13] M. K. Rasheed and A. H. Majeed, “Dependent element and free actions of centralizer and reverse centralizer on prime and semiprime semirings,” Iraqi Journal of Science, vol. 60, no. 9, pp. 2053–2057 (2019), doi: 10.24996/IJS.2019.60.9.20.

[14] P. González, H. Idais, M. Pasadas, and M. Yasin, “3D fuzzy data approximation by fuzzy smoothing bicubic splines,” Math. Comput. Simul., vol. 164, pp. 94–102 (2018), doi: 10.1016/j.matcom.2018.10.005.

[15] M. S. Nayef, B. M. Hamad, and Z. A. Fadel, “Goldie Supplement Extending Modules,” Int. J. Math. Comput. Sci., vol. 19, no. 3, pp. 535–542 (2024).

[16] P. González-Rodelas, H. Idais, M. Pasadas, and M. Yasin, “Approximation of 3D trapezoidal fuzzy data using radial basis functions,” Fuzzy Sets Syst., vol. 453, pp. 82–94 (2023), doi: 10.1016/j.fss.2022.05.004.

[17] S. Kadem, A. Aubad, and A. H. Majeed, “The non-zero divisor graph of a ring,” Ital. J. Pure Appl. Math., vol. 43, pp. 975–983 (2020).

[18] M. S. Abbas and B. M. Hamad, “Some remarks on fully stable gamma modules,” Ital. J. Pure Appl. Math., no. 45, pp. 431–444 (2021).

[19] S. J. Niran, H. L. Hadeel, and N. M. Rana, “Computations for the special linear group SL(2,49),” J. Interdiscip. Math., vol. 24, no. 6, pp. 1677–1683 (2021), doi: 10.1080/09720502.2021.1892273.

[20] D. M. Hameed, A. K. Mohsin, and I. Z. Mushtt, “Score for some groups SU(2,p),” Int. J. Nonlinear Anal. Appl., vol. 12, no. 2, pp. 2539–2543 (2021), doi: 10.22075/IJNAA.2021.5408.

[21] S. Hussain, F. Afzal, D. Afzal, M. Cancan, S. Ediz, and M. R. Farahani, “Analyzing the boron triangular nanotube through topological indices via M-polynomial,” J. Discrete Math. Sci. Cryptogr., vol. 24, no. 2, pp. 415–426 (2021), doi: 10.1080/09720529.2021.1882158.

[22] F. Afzal, S. Rukh, D. Afzal, M. R. Farahani, M. Cancan, and S. Ediz, “A study of non-commutative Von-Neumann regular rings,” J. Inf. Optim. Sci., vol. 42, no. 7, pp. 1425–1436 (2021), doi: 10.1080/02522667.2021.1896650.

[23] M. Nadeem, S. Ahmad, M. K. Siddiqui, M. A. Ali, M. R. Farahani, and A. J. M. Khalaf, “On some applications related with algebraic structures through different well known graphs,” J. Discrete Math. Sci. Cryptogr., vol. 24, no. 2, pp. 451–471 (2021).

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