The Result for the Groups SL(2,23) and SL(2,29)

Result for the Groups SL(2,23) and SL(2,29)

Authors

  • Mohammed Yasin An-Najah National University
  • Hadi Hamad
  • Waleed Khalid Jaber
  • Niran Sabah Jasim
  • Shrooq Bahjat Smeein
  • Amna Yousif Muhammad

DOI:

https://doi.org/10.32792/jeps.v15i1.654

Abstract

Abstract:

    A collection of (n×n) not-sole matrices on F domain this collection combine a group beneath process of matrix multiply invited the general linear group of measure  on domain F, indicate . The kernel of a homomorphism of  to F* is the special linear group and indicate by is the determinant of these matrices, and this homomorphism  Thus  contains all matrices of determinant one which is the subgroup of

        The objective of the study is to find the Artin directrix (A.d.) for the groups (2,23) and (2,29) from written the rational valued characters (r.v.ch.) of the rational representations (r.r.) as a linear combination of the induced characters (in.ch.) for these groups.

References

References

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M.S. Kirdar, "On Brauer’s Proof Of The Artin Induction Theorem", Abhath AL–Yarmouk (Basic Sciences and Engineering) journal, vol.11(1A), pp.51–54, 2002.

S. A.Khalaf, N. S, Jasim, "Consequences for The Groups SL(2,U), U = 23 and 29", 1st Samarra International Conference for Pure and Applied Sciences (SICPS2021) AIP Conf. Proc., vol.2394: 070031-1–070031-7, 2022; Doi: 10.1063/5.0121781.

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S. J.Niran, H. L.Hadeel, Rana N. M., "Computations for the special linear group (2,49)", Journal of Interdisciplinary Mathematics, vol.24(6), pp. 1677-1683, 2021, Doi:10.1080/09720502.2021.1892273.

I. L.Mohammed, S. J.Niran, A.Issa, "Score for the group SL (2,38)", Ibn Al-Haitham Journal for Pure and Applied Sciences, vol.36(3), pp.408–415, 2023, DOI:10.30526/36.3.3017.

S. A. Z.Mohammed, S. J.Niran, Azza I.M.S. A.-S., I.Ahmad, "Outcome for The Group SL(2,57) ", Ibn Al-Haitham Journal for Pure and Applied Sciences, vol.37(1), pp.403–411, 2024, DOI:10.30526/37.1.3018.

G. A. Khalaf, N. S. Jasim, Z. Saeidian, A. I.M.S. Abu-Shams, "Result for the group SL(2,172) ", Ibn Al-Haitham Journal for Pure and Applied Sciences, vol.37(1), pp.403–411,2024, DOI: 10.30526/37.2.3015.

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Published

2025-03-01